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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...
Energy Estimates for Nonlinear Conservation Laws with Applications to Solutions of the Burgers Equation and One-Dimensional Viscous Flow in a Shock Tube by Central Difference Schemes
Energy Estimates Nonlinear Conservation Laws Applications Solutions Burgers Equation One-Dimensional Viscous Flow
2015/7/2
A prime focus in the development of computational fluid dynamics (CFD) for aeronautics has been the simulation of transonic and supersonic flows which generally contain shock waves, contac...
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...
Energy Estimates for Nonlinear Conservation Laws with Applications to Solutions of the Burgers Equation and One-Dimensional Viscous Flow in a Shock Tube by Central Difference Schemes
Energy Estimates Central Diff erence Schemes
2015/6/18
The use of energy estimates to establish the stability of dis
crete approximations
to initial value problems has a long history. The energy meth
od is discussed in
the classical book by Morton and...
Conservation Laws in Quantum-Correlation-Function Dynamics
quantum correlation linear combinations optical coherence
2011/4/21
For a complete and lucid discussion of quantum correlation, we introduced two new first-order correlation tensors defined as linear combinations of the general coherence tensors of the quantized field...