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A CONSERVATIVE MESH-FREE SCHEME AND GENERALIZED FRAMEWORK FOR CONSERVATION LAWS
conservation law advection equation mesh-free scheme fi nite diff erence fi nite volume
2015/7/3
We present a novel mesh-free scheme for solving partial differential equations. We first derive a conservative and stable formulation of mesh-free first derivatives. We then show tha...
An Edge-Averaged Semi-meshless Framework for Numerical Solution of Conservation Laws
Edge-Averaged Semi-meshless Framework Numerical Solution Conservation Laws
2015/7/3
Despite the continuous improvement of technology, generation of high-quality meshes around complicated geometry remains a time consuming and even laborious task. In this paper, we propose a semi-meshl...
Monotonicity preserving multigrid time stepping schemes for conservation laws
Monotonicity preserving multigrid stepping schemes conservation laws
2015/7/2
In this paper, we propose monotonicity preserving and total variation diminishing (TVD) mul tigrid methods for solving scalar conservation laws. We generalize the upwind-biased residual restriction an...
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...