Wideband and Isotropic Room Acoustics Simulation Using 2-D Interpolated FDTD Schemes

In this paper, a complete method for finite-difference time-domain modeling of rooms in 2-D using compact explicit schemes is presented. A family of interpolated schemes using a rectilinear, nonstaggered grid is reviewed, and the most accurate and isotropic schemes are identified. Frequency-dependent boundaries are modeled using a digital impedance filter formulation that is consistent with locally reacting surface theory. A structurally stable and efficient boundary formulation is constructed by carefully combining the boundary condition with the interpolated scheme. An analytic prediction formula for the effective numerical reflectance is given, and a stability proof provided. The results indicate that the identified accurate and isotropic schemes are also very accurate in terms of numerical boundary reflectance, and outperform directly related methods such as Yee's scheme and the standard digital waveguide mesh. In addition, one particular scheme-referred to here as the interpolated wideband scheme-is suggested as the best scheme for most applications.

Room acoustics simulation using 3-D compact explicit FDTD schemes

This paper presents methods for simulating room acoustics using the finite-difference time-domain (FDTD) technique, focusing on boundary and medium modeling. A family of nonstaggered 3-D compact explicit FDTD schemes is analyzed in terms of stability, accuracy, and computational efficiency, and the most accurate and isotropic schemes based on a rectilinear grid are identified. A frequency-dependent boundary model that is consistent with locally reacting surface theory is also presented, in which the wall impedance is represented with a digital filter. For boundaries, accuracy in numerical reflection is analyzed and a stability proof is provided. The results indicate that the proposed 3-D interpolated wideband and isotropic schemes outperform directly related techniques based on Yee's staggered grid and standard digital waveguide mesh, and that the boundary formulations generally have properties that are similar to that of the basic scheme used.

What is Irish Standard English?

Standard English need not be a matter of prescriptivism or any attempt to ‘create’ a particular standard, but, rather, can be a matter of observation of actual linguistic behaviour. For Hudson (2000), standard English is the kind of English which is written in published work, which is spoken in situations where published writing is most influential – especially in university level education and so in post-university professions – and which is spoken ‘natively’ at home by the ‘professional class’, i.e. people who are most influenced by published writing. In the papers in Bex and Watts (eds, 1999), it is recurrently claimed that, when speaking English, what the ‘social group with highest degree of power, wealth or prestige’ or more neutrally ‘educated people’ or ‘socially admired people’ speak is the variety known as ‘standard English’. However, ‘standard English’ may also mean that shared aspect of English which makes global communication possible. This latter perspective allows for two meanings of ‘standard’: it may refer both to an idealised set of shared features, and also to different sets of national features, reflecting different demographic and political histories and language influences. The methodology adopted in the International Corpus of English (henceforth ICE – cf. Greenbaum, 1996) enables us to observe and investigate each set of features, showing what everybody shares and also what makes each national variety of English different.