932 resultados para mathematical modelling
Resumo:
A method to weakly correct the solutions of stochastically driven nonlinear dynamical systems, herein numerically approximated through the Eule-Maruyama (EM) time-marching map, is proposed. An essential feature of the method is a change of measures that aims at rendering the EM-approximated solution measurable with respect to the filtration generated by an appropriately defined error process. Using Ito's formula and adopting a Monte Carlo (MC) setup, it is shown that the correction term may be additively applied to the realizations of the numerically integrated trajectories. Numerical evidence, presently gathered via applications of the proposed method to a few nonlinear mechanical oscillators and a semi-discrete form of a 1-D Burger's equation, lends credence to the remarkably improved numerical accuracy of the corrected solutions even with relatively large time step sizes. (C) 2015 Elsevier Inc. All rights reserved.
Resumo:
Application of laboratory analogue modelling of air flow in a naturally ventilated shopping mall is reviewed in this paper. A detailed study of the ventilation was undertaken to establish the principles and to explore how natural ventilation might interact with a localised mechanical ventilation system designed to enhance the cooling of a high density food court area. The case study is used to show how the combination of laboratory modelling and simplified mathematical modelling enables one to rapidly identify the various flow regimes which can occur, to quantify the resultant flows and mean temperatures and to thereby develop appropriate ventilation strategies for the different external conditions which occur through the year.
Resumo:
用于大气环流模式的陆面物理过程参数化研究进展 戴永久,曾庆存,欧阳兵
在植物耗水条件下土壤水分动态的数值模拟 姚德良,邱克俭,冀伟,孙菽芬
Modelling of terrestrial ecosystem B.Ouyang
森林生态系统生物循环过程的耦合模型(BCM)及其数值模拟 欧阳兵
Turbulence in the atmosphere and ocean J.C.Li
Sensitivity of IAP two-level AGCM to surface albedo variations Z.H.Lin,Q.C.Zeng and B.Ouyang
Resumo:
Mathematical modelling shows that the projection area of the trawl twine influencing its hydrodynamic resistance can be reduced by approx. 30 % through increasing the mesh size of the trawl wings and the conical parts of the trawls, in combi-nation with the use of thinner twine. The interrelation between fuel consumption and projection area of the trawl twine as well as the influence of the enlarged meshes of the wings and first panels on the catch composition can only be measured by trials on fishing boats.
Resumo:
Neste trabalho é apresentada uma nova modelagem matemática para a descrição do escoamento de um líquido incompressível através de um meio poroso rígido homogêneo e isotrópico, a partir do ponto de vista da Teoria Contínua de Misturas. O fenômeno é tratado como o movimento de uma mistura composta por três constituintes contínuos: o primeiro representando a matriz porosa, o segundo representando o líquido e o terceiro representando um gás de baixíssima densidade. O modelo proposto possibilita uma descrição matemática realista do fenômeno de transição insaturado/saturado a partir de uma combinação entre um sistema de equações diferenciais parciais e uma desigualdade. A desigualdade representa uma limitação geométrica oriunda da incompressibilidade do líquido e da rigidez do meio poroso. Alguns casos particulares são simulados e os resultados comparados com resultados clássicos, mostrando as consequências de não levar em conta as restrições inerentes ao problema.