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Two families of explicit and implicit compact high-resolution shock-capturing methods for the multidimensional compressible pressible shear-layer flow and direct numerical simulation Euler equations for fluid dynamics are constructed. Some of these of turbulence. The reader is referred to [2][3] for more schemes can be fourth-and sixth-order accurate away from discontidetails. The papers by Lele and Davis discuss wave resolunuities. For the semi-discrete case their shock-capturing properties tion and phase errors for linear wave propagation. Alare of the total variation diminishing (TVD), total variation bounded though formal extension of their schemes to nonlinear (TVB), total variation diminishing in the mean (TVDM), essentially nonoscillatory (ENO), or positive type of scheme for 1D scalar hypersystems is a straightforward, systematic extension of their bolic conservation laws and are positive schemes in more than one idea to minimize phase errors and enhance wave resolution dimension. These higher-order compact schemes require the same for coupled nonlinear systems of equations remains to be grid stencil per spatial direction as their second-order noncompact seen. Unlike the st

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Author

H.C. Yee

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV; Test accounts (ISSN 0021-9991)

Published

1997

Language

EN

Field

Engineering (Physical Sciences)