| Full text | |
| Author(s): |
Fontes Gomes, Anna Karina
;
Domingues, Margarete Oliveira
;
Schneider, Kai
;
Mendes, Odim
;
Deiterding, Ralf
Total Authors: 5
|
| Document type: | Journal article |
| Source: | APPLIED NUMERICAL MATHEMATICS; v. 95, p. 15-pg., 2015-09-01. |
| Abstract | |
We present an adaptive multiresolution method for the numerical simulation of ideal magnetohydrodynamics in two space dimensions. The discretization uses a finite volume scheme based on a Cartesian mesh and an explicit compact Runge-Kutta scheme for time integration. Harten's cell average multiresolution allows to introduce a locally refined spatial mesh while controlling the error. The incompressibility of the magnetic field is controlled by using a Generalized Lagrangian Multiplier (GLM) approach with a mixed hyperbolic-parabolic correction. Different applications to two-dimensional problems illustrate the properties of the method. For each application CPU time and memory savings are reported and numerical aspects of the method are discussed. The accuracy of the adaptive computations is assessed by comparison with reference solutions computed on a regular fine mesh. (C) 2015 IMACS. Published by Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 07/07723-7 - Analysis of the electrodynamic coupling features between the solar plasma and earth magnetosphere based on the effect of planetary electric currents |
| Grantee: | Odim Mendes Junior |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 08/09736-1 - Estruturação de um ambiente computacional científico para análise de eventos complexos do acoplamento eletrodinâmico Sol-Terra |
| Grantee: | Varlei Everton Menconi |
| Support Opportunities: | Scholarships in Brazil - Technical Training Program - Technical Training |
| FAPESP's process: | 12/06577-5 - Implementation and optimization of multiresolution methods: application to hidrodynamics and magneto-hydrodynamics |
| Grantee: | Margarete Oliveira Domingues |
| Support Opportunities: | Scholarships abroad - Research |