论文信息 - A Finite Volume Formulation for Compact Schemes on Arbitrary Meshes with Applications to LES

A Finite Volume Formulation for Compact Schemes on Arbitrary Meshes with Applications to LES

In recent years there has been a great interest in compact (or Pade type) schemes [1], [2], [3]. On Cartesian uniform meshes these schemes offer a high order of accuracy with only a compact stencil. More importantly, the resolution of the shorter length scales of the solution of these schemes is better than for classical finite-difference methods [4], which makes these schemes especially attractive for applications such as DNS, LES and computational aeroacoustics [5], [6].

[1] J. Kim,et al. Optimized Compact Finite Difference Schemes with Maximum Resolution , 1996 .

[2] Datta V. Gaitonde,et al. Optimized Compact-Difference-Based Finite-Volume Schemes for Linear Wave Phenomena , 1997 .

[3] Marcelo H. Kobayashi,et al. Regular Article: On a Class of Padé Finite Volume Methods , 1999 .

[4] F. Nicoud,et al. Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows , 1999 .

[5] Shlomo Ta'asan,et al. Finite difference schemes for long-time integration , 1994 .

[6] J. Baeder,et al. UNIFORMLY ACCURATE COMPACT DIFFERENCE SCHEMES , 1997 .

[7] Philip J. Morris,et al. Parallel compact multi-dimensional numerical algorithm with application to aeroacoustics , 1999 .

[8] S. Lele. Compact finite difference schemes with spectral-like resolution , 1992 .

[9] M.Y. Hussaini,et al. Low-Dissipation and Low-Dispersion Runge-Kutta Schemes for Computational Acoustics , 1994 .