PVU AND WAVE-PARTICLE SPLITTING SCHEMES FOR EULER EQUATIONS OF GAS-DYNAMICS

被引:6
作者
DESHPANDE, SM
BALAKRISHNAN, N
RAO, SVR
机构
[1] CFD Laboratory, Department of Aerospace Engineering, Indian Institute of Science, Bangalore
来源
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES | 1994年 / 19卷
关键词
UPWIND METHODS FOR EULER EQUATIONS; WAVE-PARTICLE SPLITTING; BOLTZMANN SCHEMES; PECULIAR VELOCITY BASED UPWINDING;
D O I
10.1007/BF02743942
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A new way of flux-splitting, termed as the wave-particle splitting is presented for developing upwind methods for solving Euler equations of gas dynamics. Based on this splitting, two new upwind methods termed as Acoustic Flux Vector Splitting (AFVS) and Acoustic Flux Difference Splitting (AFDS) methods are developed. A new Boltzmann scheme, which closely resembles the wave-particle splitting, is developed using the kinetic theory of gases. This method, termed as Peculiar Velocity based Upwind (PVU) method, uses the concept of peculiar velocity for upwinding. A special feature of all these methods that the unidirectional and multidirectional parts of the flux vector are treated separately. Extensive computations done using these schemes demonstrate the soundness of the ideas.
引用
收藏
页码:1027 / 1054
页数:28
相关论文
共 18 条
  • [1] Arminjon P., Dervieux A., Construction of TVD-like artificial viscosities in two-dimensional arbitrary FEM grids, J. Comput. Phys., 106, pp. 176-198, (1993)
  • [2] Balakrishnan N., Deshpande S.M, New upwind schemes with wave-particle splitting for inviscid compressible flows, 91 FM 11, Fluid Mechanics Report, Dept. Aerosp. Eng., (1991)
  • [3] Balakrishnan N., Deshpande S.M, Assessment of the performance of wave-particle splitting with other flux vector and flux difference splitting schemes, 92 FM 7, Fluid Mechanics Report, Dept. Aerosp. Eng., (1992)
  • [4] Balakrishnan N., Deshpande S.M, New upwinding scheme based on the wave-particle splitting Computational fluid dynamics, ′94. Proc. Second European CFD Conference, pp. 1-8, (1994)
  • [5] Balakrishnan N., Raghurama Rao S.V, New flux vector and flux difference splitting methods for Euler equations of gas dynamics, Proc. 5th Asian Cong. on Fluid Mechanics, (1992)
  • [6] Deshpande S.M, Boltzmann schemes for continum gas dynamics, Sadhana, 18, pp. 405-430, (1993)
  • [7] Liou M.S, Steffen J., A new flux-splitting scheme, NASA TM 104404, (1991)
  • [8] Mandal J.C, Kinetic upwind method for inviscid compressible flows, Ph D thesis, Dept. Aerosp. Eng., (1989)
  • [9] Mandal J.C, Deshpande S.M, Kinetic flux vector splitting for Euler equations, Comput. Fluids, 23, pp. 447-478, (1994)
  • [10] Osher S., Solomon F., Upwind difference schemes for hyperbolic system of conservation laws, Mathematics of Computation, 38, (1982)