SOLUTION OF TWO-DIMENSIONAL HYPERBOLIC HEAT CONDUCTION BY HIGH-RESOLUTION NUMERICAL METHODS
- 1 April 1992
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part A: Applications
- Vol. 21 (3) , 333-349
- https://doi.org/10.1080/10407789208944880
Abstract
Studies of hyperbolic heat conduction have so far been limited mostly to one-dimensional frameworks. For two-dimensional problems, the reflection and interaction of oblique thermal waves and complicated geometries present a challenge. This paper describes a numerical solution of two-dimensional hyperbolic heat conduction by high-resolution schemes. First, the governing equations are transformed from Cartesian coordinates into generalized curvilinear coordinates. Then the dependent variables are cast in a characteristic form that decouples the original system equation into scalar equations. Two-dimensional high-resolution numerical schemes, suck as total variational diminishing ( TVD) are built up by forming symmetrical products of one-dimensional difference operators on each individual wave. Three examples are used to demonstrate the unique feature of complicated interaction of two-dimensional thermal waves.This publication has 17 references indexed in Scilit:
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