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Third-order 2D Central Schemes for Hyperbolic Conservation Laws
Two-dimensional framework system the law of conservation of two-dimensional euler equation the high resolution
2015/10/8
We extend a one-dimensional central-scheme first introduced by Liu and Tadmor, to the rather general framework of two-dimensional systems of conservation laws. This scheme is based on a two-dimensiona...
High-Resolution Non-Oscillatory Central Schemes with Non-Staggered Grids for Hyperbolic Conservation Laws
hyperbolic conservation laws central schemes staggered grids
2015/10/8
We present a general procedure to convert schemes which are based on staggered spatial grids into non-staggered schemes. This procedure is then utilized to construct a new family of non-staggered, cen...
Numerical solution of nonlinear hyperbolic conservation laws using exponential splines
Numerical solution nonlinear hyperbolic conservation laws exponential splines
2015/7/1
Previous theoretical (McCartin 1989a) and computational (McCartin 1989b) results on exponential splines are herein applied to provide approximate solutions of high order accuracy to nonlinear hyperbol...
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
DG for hyperbolic conservation laws Moving Mesh Method
2012/7/31
In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues
have received much attention. One is abo...