A Second-Order Godunov Method on Arbitrary Grids
β Scribed by Esteban G. Tabak
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 477 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
β¦ Synopsis
generalized algorithm. The previous high order Godunov methods on which it is strongly based can be found in the A second-order Godunov method is proposed for the solution of general systems of conservation laws on arbitrary grids. Some original bibliography ([2, 4, 14, 15]) and in the book of applications are discussed: moving and deforming grids, local grid LeVecque [8].
refinement, Lagrangian grids that make contact discontinuities per-
In the second section we introduce a rigorous secondfectly sharp, and a new way to solve the time dependent small order accurate way of solving the generalized Riemann disturbance transonic flow equations of gas dynamics. As part of problem for arbitrary systems of conservation laws. This the algorithm, a way is presented to solve generalized Riemann problems with second-order accuracy.
π SIMILAR VOLUMES
Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations. These new meth-need not rely on smooth mappings. In addition, these ''arods are equivalent to conventional spectral methods but do not bitrary-grid spectral techniques'' could be u
This paper describes a finite volume discretization method to compute steady, twodimensional incompressible viscous recirculating flows using hybrid unstructured meshes, composed of triangles and quadrilaterals. However, the proposed formulation is not restricted to these topologies. The new method
We present a second-order Godunov method for computing unsteady, onedimensional wave problems with fracture and cavitation in coupled solid-watergas systems. The method employs a hydro-elasto-plastic body, the Tait equation, and the ideal gas law for solid, water, and gaseous phases, respectively, a