Geodesic
A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations
Applications of Mathematics, Tome 64 (2019) no. 5, pp. 531-556.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A higher order pressure segregation scheme for the time-dependent incompressible magnetohydrodynamics (MHD) equations is presented. This scheme allows us to decouple the MHD system into two sub-problems at each time step. First, a coupled linear elliptic system is solved for the velocity and the magnetic field. And then, a Poisson-Neumann problem is treated for the pressure. The stability is analyzed and the error analysis is accomplished by interpreting this segregated scheme as a higher order time discretization of a perturbed system which approximates the MHD system. The main results are that the convergence for the velocity and the magnetic field are strongly second-order in time while that for the pressure is strongly first-order in time. Some numerical tests are performed to illustrate the theoretical predictions and demonstrate the efficiency of the proposed scheme.\looseness -1
DOI : 10.21136/AM.2019.0069-17
Classification : 65N12, 65N15, 65N30
Keywords: magnetohydrodynamics equations; pressure segregation method; higher order scheme; stability; error estimate 
@article{10_21136_AM_2019_0069_17,
     author = {Yang, Yun-Bo and Jiang, Yao-Lin and Kong, Qiong-Xiang},
     title = {A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations},
     journal = {Applications of Mathematics},
     pages = {531--556},
     publisher = {mathdoc},
     volume = {64},
     number = {5},
     year = {2019},
     doi = {10.21136/AM.2019.0069-17},
     mrnumber = {4022162},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2019.0069-17/}
}
TY  - JOUR
AU  - Yang, Yun-Bo
AU  - Jiang, Yao-Lin
AU  - Kong, Qiong-Xiang
TI  - A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations
JO  - Applications of Mathematics
PY  - 2019
SP  - 531
EP  - 556
VL  - 64
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2019.0069-17/
DO  - 10.21136/AM.2019.0069-17
LA  - en
ID  - 10_21136_AM_2019_0069_17
ER  - 
%0 Journal Article
%A Yang, Yun-Bo
%A Jiang, Yao-Lin
%A Kong, Qiong-Xiang
%T A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations
%J Applications of Mathematics
%D 2019
%P 531-556
%V 64
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2019.0069-17/
%R 10.21136/AM.2019.0069-17
%G en
%F 10_21136_AM_2019_0069_17
Yang, Yun-Bo; Jiang, Yao-Lin; Kong, Qiong-Xiang. A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations. Applications of Mathematics, Tome 64 (2019) no. 5, pp. 531-556. doi : 10.21136/AM.2019.0069-17. http://geodesic.mathdoc.fr/articles/10.21136/AM.2019.0069-17/

Cité par Sources :