A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
Tóm tắt
The paper outlines the formulation of a novel algorithm which can be used for the solution of both compressible and incompressible Navier‐Stokes or Euler equations. Full incompressibility can be dealt with if the algorithm is used in its semi‐explicit form and its structure permits arbitrary interpolation functions to be used avoiding the Babuška‐Brezzi restriction. In a fully explicit version it introduces a rational form of balancing dissipation avoiding the use of arbitrary parameters and forms for this.
Từ khóa
Tài liệu tham khảo
Donea J., 1984, A Taylor‐Galerkin method for convection transport problems, Int. j. numer. methods fluids, 4, 1043
Zienkiewicz O. C., 1984, Finite Element in Fluids, 1
Zienkiewicz O. C., 1991, Finite Element Method
Chorin A. J., 1969, On the convergence of discrete approximation to the Navier‐Stokes equations, Math. Comput., 23, 10.1090/S0025-5718-1969-0242393-5
Schneider G. E., 1978, Numerical Methods in Laminar and Turbulent Flow
Shimura M., 1988, Two dimensional finite element flow analysis using velocity correction method, Struct. Eng./Earthquake Eng., 5, 255
O. C.Zienkiewicz ‘Explicit or semi‐explicit general algorithm for compressible and incompressible flows with equal finite element interpolation’ Report 90/5 Chalmers Univ. of Technology 1990.
Zienkiewicz O. C., 1993, A new semi‐implicit or explicit algorithm for shallow water equations, Math. Modelling and Scientific Comp., 1, 31
Codina R., 1993, A shock‐capturing anisotropic diffusion for the element solution of the diffusion‐convection‐reaction equation, 67
Johnson C., 1987, On the convergence of a finite element method for a nonlinear hyperbolic conservation law, Math. Comput., 49, 427, 10.1090/S0025-5718-1987-0906180-5
Zienkiewicz O. C., A split, characteristic Based Finite Element Model for Shallow Water Equations, Int. j. numer. methods fluids, 20, 1085