Stockie, J.M. and MacKenzie, J.A. and Russell, R.D. (2001) A moving mesh method for onedimensional hyperbolic conservation laws. SIAM Journal on Scientific Computing, 22 (5). pp. 17911813. ISSN 10648275

PDF (strathprints004705.pdf)
strathprints004705.pdf Download (564kB)  Preview 
Abstract
We develop an adaptive method for solving onedimensional systems of hyperbolic conservation laws that employs a high resolution Godunovtype scheme for the physical equations, in conjunction with a moving mesh PDE governing the motion of the spatial grid points. Many other moving mesh methods developed to solve hyperbolic problems use a fully implicit discretization for the coupled solutionmesh equations, and so suffer from a significant degree of numerical stiffness. We employ a semiimplicit approach that couples the moving mesh equation to an efficient, explicit solver for the physical PDE, with the resulting scheme behaving in practice as a twostep predictorcorrector method. In comparison with computations on a fixed, uniform mesh, our method exhibits more accurate resolution of discontinuities for a similar level of computational work.
Item type:  Article 

ID code:  4705 
Keywords:  moving mesh, adaptivity, equidistribution, shock capturing, hyperbolic conservation laws, finite volume methods, numerical mathematics, Mathematics, Physics, Computational Mathematics, Applied Mathematics 
Subjects:  Science > Mathematics Science > Physics 
Department:  Faculty of Science > Mathematics and Statistics 
Depositing user:  Strathprints Administrator 
Date Deposited:  12 Nov 2007 
Last modified:  21 May 2015 09:18 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/4705 
Actions (login required)
View Item 