Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation
暂无分享,去创建一个
[1] Charles Hirsch,et al. Numerical computation of internal & external flows: fundamentals of numerical discretization , 1988 .
[2] R. Eymard,et al. Finite Volume Methods , 2019, Computational Methods for Fluid Dynamics.
[3] Thomas Sonar,et al. On Families of Pointwise Optimal Finite Volume ENO Approximations , 1998 .
[4] E. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .
[5] I. Bohachevsky,et al. Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics , 1959 .
[6] P. Sweby. High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws , 1984 .
[7] S. Osher,et al. Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .
[8] Chi-Wang Shu,et al. Efficient Implementation of Weighted ENO Schemes , 1995 .
[9] Enrico Bertolazzi,et al. A triangle-based unstructured finite-volume method for chemically reactive hypersonic flows , 2001 .
[10] Matthew E. Hubbard,et al. Regular Article: Multidimensional Slope Limiters for MUSCL-Type Finite Volume Schemes on Unstructured Grids , 1999 .
[11] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[12] E. Bertolazzi. A finite volume scheme for two‐dimensional chemically reactive hypersonic flow , 1998 .
[13] P. Raviart,et al. Numerical Approximation of Hyperbolic Systems of Conservation Laws , 1996, Applied Mathematical Sciences.
[14] Chi-Wang Shu,et al. High Order ENO and WENO Schemes for Computational Fluid Dynamics , 1999 .
[15] C. Hirsch,et al. Numerical Computation of Internal and External Flows. By C. HIRSCH. Wiley. Vol. 1, Fundamentals of Numerical Discretization. 1988. 515 pp. £60. Vol. 2, Computational Methods for Inviscid and Viscous Flows. 1990, 691 pp. £65. , 1991, Journal of Fluid Mechanics.
[16] Enrico Bertolazzi,et al. Algorithm 817: P2MESH: generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers , 2002, TOMS.
[17] Timothy J. Barth,et al. High-order methods for computational physics , 1999 .
[18] Philippe G. Ciarlet,et al. The Finite Element Method for Elliptic Problems. , 1981 .
[19] R. LeVeque. Numerical methods for conservation laws , 1990 .