Sähkö- ja hybridiautojen voimansiirtojärjestelmien jännitetasot

Kasvihuonekaasu- ja hiilidioksidipäästöt ovat kasvaneet viimeisten vuosikymmenten aikana merkittävästi. Merkittävimpiä päästöjen lähteitä ovat liikenteessä ja energiantuotannossa käytetyt fossiiliset polttoaineet. Kaikista maailman kasvihuonepäästöistä liikenne aiheuttaa noin 13 %, josta yli 80 % on tieliikenteen aiheuttamia päästöjä. Jotta tieliikenteen ai-heuttamia päästöjä saataisiin vähennettyä on tieliikenteeseen kehitettävä yhä vähäpäästöisempiä ja päästöttömiä kulkuvälineitä. Tämä on ollut yksi päätekijä sähkö- ja hybridiautojen kehitykseen. Tässä kandidaatintyössä selvitetään sähkö- ja hybridiautoissa käytettyjä jännitetasoja sekä voimansiirtojärjestelmissä käytettyjä komponentteja. Työ rajoittuu ainoastaan henkilöautoihin, joista tarkastelun kohteena ovat sähkö-, hybridi- ja muunnossähköautot. Työssä tarkastellaan myös sähkö- ja hybridiautojen tulevaisuuden näkymiä turvallisuuden ja standardoinnin kannalta. Työssä esitettyjen tietojen perusteella saadaan selkeä näkemys siitä, miten käytetyt jännitetasot ja komponentit vaihtelevat eri autovalmistajien kesken. Korkeammat jännitetasot ovat energiatehokkuuden kannalta parempia, mutta aiheuttavat vaatimuksia käyttöturvallisuuteen liittyvissä kysymyksissä.

Nopeaan pyrolyysiin perustuvan bioöljyn tuotantolaitoksen liiketoiminnallinen malli ja kannattavuuslaskenta Savonlinnan seudulla

Pyrolyysiöljy on biomassasta nopealla hapettomalla lämpökäsittelyprosessilla valmistettavaa nestemäistä polttoainetta. Kasvavien uusiutuvan energian käyttötavoitteiden myötä pyrolyysiöljystä on tullut varteenotettava vaihtoehto fossiilisille polttoöljyille. Suurimmat käytön haasteet ovat alhainen lämpöarvo, happamuus ja korkeahkot kiintoainepitoisuudet verrattuna fossiilisiin polttoöljyihin. Nämä haasteet ovat kuitenkin ratkaistavissa. Työssä tarkasteltiin bioöljyn tuotantolaitoksen liiketoiminnallista mallia ja kannattavuutta Savonlinnan seudulle sijoitettuna. Tätä varten selvitettiin alueellinen raaka-aineen saatavuus ja hinta, sekä potentiaaliset markkinat pyrolyysiöljylle. Kannattavuuslaskentaa varten luotiin exel – pohjainen laskentatyökalu, jolla laskettiin pyrolyysiöljyn tuotannon omakustannushinnat ja kannattavuudet eri laitosvaihtoehdoille. Saaduille tuloksille tehtiin herkkyysanalyysi, jolla selvitettiin merkittävimmät kannattavuuteen vaikuttavat tekijät. Laskettujen tulosten perusteella pienemmät 100 BDMTPD (Bone Dry Metric Ton per Day) tuotantolaitokset eivät ole kannattavia investointeja. Suuremmat 400 BDMTPD tuotantolaitokset ovat kannattavia, kunhan raaka-aine saadaan kohtuulliseen hintaan ja investointikustannukset pysyvät kurissa.

Teurasjätteiden jalostaminen liikennepolttoaineiksi

Työssä määritettiin luokan 2 eläinperäisistä sivutuotteista liikennekäyttöön tuotettujen biodieselin ja biometaanin elinkaaren aikaiset kasvihuonekaasupäästöt ja tuotantoprosessien energiankulutukset perustuen kirjallisuuslähteistä saatuihin lähtötietoihin. Tätä kautta tutkittiin yhdistelmäprosessia, jossa tuotetaan molempia polttoaineita ja selvitettiin onko tällaisella tuotantotavalla mahdollista vähentää päästöjä ja parantaa polttoaineiden tuotannon energiatehokkuutta. Kasvihuone-kaasupäästöjen laskentamenetelmä pohjautuu direktiivissä 2009/28/EY annettuun ohjeistukseen ja eri kasvihuonekaasupäästöjen karakterisointi IPCC:n sadan vuoden tarkastelumalliin. Käytännön laskenta suoritettiin standardien SFS-EN ISO 14040 ja 14044 määrittelemän elinkaariarviointiselvityksen muodossa. Työssä käytetyn laskentamenetelmän ja tarkasteluun valittujen tuotanto-teknologioiden perusteella lasketut tulokset osoittavat, että yhdistelmäprosessilla ei saavuteta suurempia päästövähenemiä eikä parempaa energiatehokkuutta kuin nykyisin käytössä olevilla tuotantotavoilla. Tulokset ovat kuitenkin hyvin herkkiä laskennassa tehtyjen oletusten ja käytettyjen lähtötietojen vaihtelulle sekä valittujen laskentamenetelmien muutoksille. Suurin päästöjä ja energiankulutusta aiheuttava yksittäinen tekijä on kaikissa tuotejärjestelmissä luokan 2 sivutuotteiden esikäsittelyssä vaadittavaan steri-lointiin tarvittavan lämmön tuotanto. Tutkituissa tuotejärjestelmissä lämpö tuotetaan kokonaan tai osittain fossiilisilla polttoaineilla. Kasvihuone-kaasupäästöjä olisi mahdollista alentaa merkittävästi siirtymällä lämmön tuotannossa kokonaan uusiutuviin polttoaineisiin. Sterilointi on lain edellyttämä käsittelytapa ja siksi energiankulutusta on vallitsevissa olosuhteissa hyvin vaikea pienentää merkittävästi.

Perspectives for the production and usage of wood chips as a source of energy in the North-West of Russia

The development of bioenergy on the basis of wood fuels has received considerable attention in the last decades. The combination of large forest resources and reliance on fossil fuels makes the issue of wood chips usage in Russia an actual topic for the analysis. The main objective of this study is to disclose the current state and perspectives for the production of wood chips and their usage as a source of energy in the North-West of Russia. The study utilizes an integrated approach to explore the market of wood chips on the basis of comprehensive analysis of documentation and expert opinions. The analysis of wood chips market was performed for eight regions of the North-West district of Russia within two major dimensions: its current state and perspectives in the nearest five years. The results of the study show a comprehensive picture of the wood chips market, including the potential for wood chips production, the specific features of production and consumption and the perspectives for the market development within the regions of the North-West district of Russia. The study demonstrated that the market of wood chips is underdeveloped in the North-West of Russia. The findings of the work may be used by forest companies for the strategic planning.

Optimal trading of wind power in the short term market

The energy reform, which is happening all over the world, is caused by the common concern of the future of the humankind in our shared planet. In order to keep the effects of the global warming inside of a certain limit, the use of fossil fuels must be reduced. The marginal costs of the renewable sources, RES are quite high, since they are new technology. In order to induce the implementation of RES to the power grid and lower the marginal costs, subsidies were developed in order to make the use of RES more profitable. From the RES perspective the current market is developed to favor conventional generation, which mainly uses fossil fuels. Intermittent generation, like wind power, is penalized in the electricity market since it is intermittent and thus diffi-cult to control. Therefore, the need of regulation and thus the regulation costs to the producer differ, depending on what kind of generation market participant owns. In this thesis it is studied if there is a way for market participant, who has wind power to use the special characteristics of electricity market Nord Pool and thus reach the gap between conventional generation and the intermittent generation only by placing bids to the market. Thus, an optimal bid is introduced, which purpose is to minimize the regulation costs and thus lower the marginal costs of wind power. In order to make real life simulations in Nord Pool, a wind power forecast model was created. The simulations were done in years 2009 and 2010 by using a real wind power data provided by Hyötytuuli, market data from Nord Pool and wind forecast data provided by Finnish Meteorological Institute. The optimal bid needs probability intervals and therefore the methodology to create probability distributions is introduced in this thesis. In the end of the thesis it is shown that the optimal bidding improves the position of wind power producer in the electricity market.

Alternative liquid biofuels for lime kilns

Causticizing plant is an important part of kraft pulp mill. It uses green liquor from recovery boiler as a raw material and consumes lime to produce white liquor, which is an important chemical used in pulping. Lime kiln is a part of the causticizing process. It is used to convert lime mud, a by-product obtained from the causticizing back to lime in high temperatures. This conversion requires a lot of energy. The most common fuels used as energy source for lime kiln are heavy fuel oil and natural gas. In a modern pulp mill lime kiln is the only user of significant amount of fossil fuels. Replacing fossil fuels with biofuels can have prominent economical and environmental benefits. Interest in using biofuels as energy source of lime kiln has become a worldwide issue in the recent years. However fuels used for lime kiln have a lot of certain requirements. The purpose of this work is to study the required characteristics from liquid fuels used in pulp mill lime kiln and to map suitable liquid biofuels already available in the markets. Also taxation of liquid biofuels compared to heavy fuel oil in Finland, Sweden and Germany is shortly introduced.

Liikennebiokaasun tuotannon ja käytön ulkoiset kustannukset Pohjois-Karjalassa

Työn tavoitteena oli selvittää liikennebiokaasuntuotannon ja käytön vaikutus liikenteen ulkoi-siin kustannuksiin Pohjois-Karjalassa. Biokaasua tuotetaan Joensuussa Kuhasalon jäteveden-puhdistamolla sekä Kontiosuon jäteasemalla, Kiteellä biokaasua tuotetaan BioKympin yh-teismädätyslaitoksessa. Lisäksi laskennassa huomioitiin yhden maatilakokoluokan biokaasun-tuotanto. Työssä selvitettiin kaksi skenaariota liikennebiokaasun tuotantomääräksi vuodelle 2015. Liikennebiokaasua voitaisiin tuottaa optimiskenaarion mukaan 3 426 MWh ja maksimi-tuotantoskenaarion mukaan 21 532 MWh. Liikennebiokaasun käytön vaikutukset liikenteen päästöihin laskettiin vuodelle 2015 ja vuo-delle 2020, jolloin liikennebiokaasua käytettäisiin 10 % liikenteen energiantarpeesta Pohjois-Karjalassa. Hiilidioksidipäästöt vähenevät vuoden 2020 tilanteessa samassa suhteessa kuin liikennebiokaasu korvaa fossiilisia polttoaineita. Muista päästöistä merkittävimmät päästövä-hennykset saatiin kun vuoden 2010 dieselautot muutettaisiin biokaasuautoiksi, tällöin hiuk-kaspäästöt alenisivat jopa 18 % vuoden 2010 päästöistä. Lisäksi selvitettiin liikenteen päästöjen pienenemisen vaikutus liikenteen aiheuttamiin ulkoisiin kustannuksiin. Laskettavat ulkoiset kustannukset olivat ilmastonmuutos, pakokaasupäästöt sekä energiariippuvuus. Pakokaasupäästöjen aiheuttamat ulkoiset kustannukset olivat vuonna 2010 noin 7 miljoonaa euroa. Liikennebiokaasua käyttävästä ajoneuvotyypistä riippuen ulkoiset kustannukset laskevat vuoden 2020 tilanteessa 10–16 % vuoden 2010 kustannuksista. Ilmastonmuutoksen ulkoiset kustannukset vuodelle 2010 olivat 9,5 miljoonaa euroa. Biokaasun käytön avulla kustannuksissa voitaisiin säästää 910 000 euroa vuonna 2020. Ener-giariippuvuuden hinta öljynkäytöstä oli vuonna 2010 noin 4,2 miljoonaa euroa ja vuonna 2020 kustannukset voisivat laskea 450 000 euroa.

Modelling of calciner in post-combustion carbon capture process

Climate change has given an impetus to research and developed new technologies to reduce significantly carbon dioxide emissions in energy production in the developed countries. The major pollution source, fossil fuels, will be used as an energy source for many decades, which provides the demand for carbon capture and storage technologies. Over recent years many new technologies has been developed and one of the most promising is calcium-looping in post-combustion carbon capture process, which use carbonation-calcination cycle to capture carbon dioxide from the flue gas of a combustion process. First pilot plant for calcium-looping process has been built in Oviedo, Spain. In this study, a three-dimensional model has been created for the calciner, which is one of the two fluidized bed reactors needed for the process. The calciner is a regenerator where the captured carbon dioxide is removed from the calcium material and then collected after the reactor. Thesis concentrates in creating the calciner 3D-model frame with CFB3D-program and testing the model with two different example cases. Used input parameters and calciner geometry are Oviedo pilot plant design parameters. The calculation results give information about the process and show that pilot plant calciner should perform as planned. This Master’s Thesis is done in participation to EU FP7 project CaOling.

Improving strategic decision-making with simulation based decision support systems

Combating climate change is one of the key tasks of humanity in the 21st century. One of the leading causes is carbon dioxide emissions due to usage of fossil fuels. Renewable energy sources should be used instead of relying on oil, gas, and coal. In Finland a significant amount of energy is produced using wood. The usage of wood chips is expected to increase in the future significantly, over 60 %. The aim of this research is to improve understanding over the costs of wood chip supply chains. This is conducted by utilizing simulation as the main research method. The simulation model utilizes both agent-based modelling and discrete event simulation to imitate the wood chip supply chain. This thesis concentrates on the usage of simulation based decision support systems in strategic decision-making. The simulation model is part of a decision support system, which connects the simulation model to databases but also provides a graphical user interface for the decisionmaker. The main analysis conducted with the decision support system concentrates on comparing a traditional supply chain to a supply chain utilizing specialized containers. According to the analysis, the container supply chain is able to have smaller costs than the traditional supply chain. Also, a container supply chain can be more easily scaled up due to faster emptying operations. Initially the container operations would only supply part of the fuel needs of a power plant and it would complement the current supply chain. The model can be expanded to include intermodal supply chains as due to increased demand in the future there is not enough wood chips located close to current and future power plants.

Advanced welding technologies used for arctic metal structures

Rapid depletion of easy-to-access fossil fuel, predominantly, oil and gas resources has now necessitated increase in need to develop new oil and gas sources in ever more remote and hostile environments. This is necessary in order to explore more oil and gas resources to meet rapidly rising long-term energy demand in the world, both at present and in the nearest future. Arctic is one of these harsh environments, where enormous oil and gas resources are available, containing about 20% of the world total oil and gas, but the environmental conditions are very harsh and hostile. However, virtually all the facilities required for the exploration and development of this new energy source are constructed with metals as well as their alloys and are predominantly joined together by welding processes and technologies. Meanwhile, due to entirely different environment from the usual moderate temperate region, conventional welding technologies, common metals and their alloys cannot be applied as this Arctic environment demand metals structures with very high toughness and strength properties under extremely low temperature. This is due to the fact that metals transit from ductility to brittleness as the temperature moves toward extreme negative values. Hence, this research work investigates and presents the advanced welding technologies applicable to Arctic metal structures which can give satisfactory weldments under active Arctic service conditions. .

Pienen kokoluokan CHP-tuotannon kannattavuus kunnallisen lämpölaitoksen yhteydessä

Fossiiliset polttoainevarannot ovat ehtymässä. Nykyisen talouskasvumme perustuessa fossiilisten polttoaineiden kestämättömään käyttöön, on energiantuotantorakenteen muututtava. Euroopan Unioni on asettanut tavoitteet uusiutuvan energian osuuden lisäämiseksi. Näistä syistä johtuen kiinnostus uusiutuvaa energiaa ja hajautettua energiantuotantoa kohtaan on kasvanut viime aikoina. Tämän globaalin ilmiön rinnalla yhteiskuntarakenteen muutos Suomessa on johtanut tilanteeseen, jossa taloudellinen aktiviteetti kasvukeskusten ulkopuolella on hiipumassa. Loogisena ratkaisumallina on syntynyt hankkeita kuten Keski-Karjalan Kehitysyhtiö Oy:n Puhos 2013 - ympäristöalasta uutta liiketoimintaa - hanke. Tämä työ on Puhos 2013 - hankkeeseen tilattu tutkimus, jonka tavoitteena on puuta ja biokaasua polttoaineenaan käyttävän mikroturbiinitekniikkaan pohjautuvan pienen kokoluokan CHP tuotannon kannattavuuden selvittäminen kunnallisen lämpölaitoksen yhteydessä. Tutkimuksessa selvitettiin aluksi pienen kokoluokan CHP tuotannon kannattavuuteen vaikuttavat tekijät, jonka jälkeen opittua tietoa sovellettiin Kiteen Lämmön Arppentien lämpölaitoksen tapaukseen. Kiteen Lämmön taloudellisen kannattavuuden ohella tutkimuksessa huomioitiin uusien liiketoiminta mahdollisuuksien syntyminen alueelle. Käytetyt tutkimusmenetelmät olivat kvalitatiivinen analyysi ja perinteinen investoinnin kannattavuuslaskenta. Tutkimuksen tuloksena muodostettiin strategia, joka maksimoi molemmat edellä mainitut kannattavuuden näkökulmat. Kehitetyn strategian Kiteen Lämmön tulosta maksimoiva osuus muodostuu oman käyttösähkön tuottamisen aloittamisesta Arppentien lämpölaitoksella 30 kWe mikroturbiinilla käyttäen polttoaineena Bio10 Oy:n toimittamaa biokaasua. Uusien liiketoiminta mahdollisuuksien synty alueelle mahdollistetaan puolestaan kehittämällä puun kaasutukseen perustuva modulaarinen CHP laitos yhteistyössä Mekrijärven tutkimusaseman ja suomalaisten laitevalmistajien kanssa.

Catalysis by gold for biomass transformations

The development of new technologies to supplement fossil resources has led to a growing interest in the utilization of alternative routes. Biomass is a rich renewable feedstock for producing fine chemicals, polymers, and a variety of commodities replacing petroleumderived chemicals. Transformation of biomass into diverse valuable chemicals is the key concept of a biorefinery. Catalytic conversion of biomass, which reduces the use of toxic chemicals is one of the important approaches to improve the profitability of biorefineries. Utilization of gold catalysts allows conducting reactions under environmentally-friendly conditions, with a high catalytic activity and selectivity. Gold-catalyzed valorization of several biomass-derived compounds as an alternative approach to the existing technologies was studied in this work. Isomerization of linoleic acid via double bond migration towards biologically active conjugated linoleic acid isomers (CLA) was investigated. The activity and selectivity of various gold catalysts towards cis-9,trans-11-CLA and trans-10,cis-12-CLA were investigated in a semi-batch reactor, showing that the yield of the desired products varied, depending on the catalyst support. The structure sensitivity in the selective oxidation of arabinose was demonstrated using a series of gold catalysts with different Au cluster sizes in a shaker reactor operating in a semibatch mode. The gas-phase selective oxidation of ethanol was studied and the influence of the catalyst support on the catalytic performance was investigated. The selective oxidation of the lignan hydroxymatairesinol (HMR), extracted from the Norway spruce (Picea abies) knots, to the lignan oxomatairesinol (oxoMAT) was extensively investigated. The influence of the reaction conditions and catalyst properties on the yield of oxoMAT was evaluated. In particular, the structure sensitivity of the reaction was demonstrated. The catalyst deactivation and regeneration procedures were studied. The reaction kinetics and mechanism were advanced.

The Sedimentology, Ichnology and Hydrogeochemistry of the Late Miocene, Marginal Marine, Upper Pebas and Nauta Formations, Amazonian Foreland Basin, Peru

This thesis includes detailed sedimentological and ichnological studies on two geological units: the Pebas Formation, with a special focus in its informal upper member, and the Nauta Formation. Both formations were deposited during the Miocene in Northeastern Peruvian Amazonia, in the Amazon retroarc foreland basin. The Pebas and Nauta successions mainly consist of non-consolidated, clastic sedimentary deposits arranged into sand- to mud-dominated heterolithic successions, which can be upward-coarsening to upward-fining. Sediments in both the Pebas and Nauta successions range from mud to fine- to medium-grained sand. The main facies observed were 1) mud-dominated horizontal heterolithic couplets; 2) rooted brownish mud; 3) lenticular, mud-draped, cross-stratified sand; 4) mud- to sand-dominated, inclined heterolithic stratification; 5) sand-dominated horizontal heterolithic couplets; and 6) mud-draped, trough cross-stratified sand. Locally, tidal rhythmites were documented. The facies are interpreted as: 1) muddy, shallow, subaqueous flats/shoals; 2) palaeosols; 3) secondary tidal channels or run-off creeks; 4) tidally influenced point bars; 5) shoreface deposits; and 6) subtidal compound dunes. Thalassinoides-dominated Glossifungites ichnofacies, low-diversity expressions of the Skolithos ichnofacies and depauperate suites consisting of elements common to the Cruziana ichnofacies strongly indicate brackish-water conditions. However, continental trace fossil assemblages, with possible elements common to the Scoyenia ichnofacies, have also been identified. In addition to the palaeoenvironmental study, a local hydrogeochemical characterisation of the Pebas and Nauta formations was also conducted. The geochemistry of the groundwaters reflects the characteristics and the soil geochemistry of the geological formations studied. The Pebas formation has low hardness, acid to neutral waters, whereas the upper Pebas has high hardness, acid to neutral waters. In both units, the arsenic content is locally high. The Nauta formation has low hardness acid groundwaters. A regional review of the Pebas and Nauta formations placed the local observations into a continental perspective and suggests that the whole Pebas-Nauta system was a probably shallow (some tens of metres at maximum), brackish- to freshwater, tidally-influenced epicontinental embayment with a probable semi-diurnal to mixed tidal regime and a microtidal range, surrounded by continental environments such as forest floors, lagoons, rivers and their flood plains, and lakes.

Public and Private Sector Decision Makers Within the Rail Baltica Growth Corridor

Transport volumes have increased and will continue to increase in European Union. Even though the growth has not been equal between different transport modes. Most of the growth has been faced on road transport. European Union aims to balance the unbalanced market shares between the modes by gaining and supporting the competitiveness of railway and waterway transport. In EU railway transportation is seen as solution to increase safety in traffic and decrease the environmental impacts of transportation. The aim of this research is to figure out how it is possible to decrease the environmental impacts by the technology already in use. Main focus of this research is in intermodality and combining the road and railway transportation. This study aims also to figure out demands and expectations towards new Rail Baltica railway route connecting Tallinn and Berlin. The research is conducted by performing a literature review about decreasing environmental impacts and combining road and rail transport. Another viewpoint is taken from the possible effects of tourism to the passenger transport on rails. Knowledge gained by literature review is deepened by additional internet questionnaire study and expert interview study. In decreasing the environmental impacts of transportation electric trains are definitely the best option providing that the electricity is generated from renewable or carbon dioxide free sources. Decrease of environmental impacts has been reached also with acceptance of larger road transport vehicles. According to interviewed passenger transport experts, the whole route from Tallinn to Berlin may not be convenient to be used in passenger transport, just because the route is too long.. In EU freight is transported mainly with semi-trailer combinations, and that is why it could be logical if huckepack trains would be used on Rail Baltica. Huckepack train allows semi-trailers to be transported on rails with time efficient loading-unloading process. Overall, Rail Baltica project is experienced as a future-oriented one and new railway alignment is seen as great alternative option for transport modes using fossil fuels.

Theoretical Analysis and Numerical Simulation of Spectral Radiative Properties of Combustion Gases in Oxy/Air-Fired Combustion Systems

Energy efficiency is one of the major objectives which should be achieved in order to implement the limited energy resources of the world in a sustainable way. Since radiative heat transfer is the dominant heat transfer mechanism in most of fossil fuel combustion systems, more accurate insight and models may cause improvement in the energy efficiency of the new designed combustion systems. The radiative properties of combustion gases are highly wavelength dependent. Better models for calculating the radiative properties of combustion gases are highly required in the modeling of large scale industrial combustion systems. With detailed knowledge of spectral radiative properties of gases, the modeling of combustion processes in the different applications can be more accurate. In order to propose a new method for effective non gray modeling of radiative heat transfer in combustion systems, different models for the spectral properties of gases including SNBM, EWBM, and WSGGM have been studied in this research. Using this detailed analysis of different approaches, the thesis presents new methods for gray and non gray radiative heat transfer modeling in homogeneous and inhomogeneous H2O–CO2 mixtures at atmospheric pressure. The proposed method is able to support the modeling of a wide range of combustion systems including the oxy-fired combustion scenario. The new methods are based on implementing some pre-obtained correlations for the total emissivity and band absorption coefficient of H2O–CO2 mixtures in different temperatures, gas compositions, and optical path lengths. They can be easily used within any commercial CFD software for radiative heat transfer modeling resulting in more accurate, simple, and fast calculations. The new methods were successfully used in CFD modeling by applying them to industrial scale backpass channel under oxy-fired conditions. The developed approaches are more accurate compared with other methods; moreover, they can provide complete explanation and detailed analysis of the radiation heat transfer in different systems under different combustion conditions. The methods were verified by applying them to some benchmarks, and they showed a good level of accuracy and computational speed compared to other methods. Furthermore, the implementation of the suggested banded approach in CFD software is very easy and straightforward.