| Title:
|
A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations (English) |
| Author:
|
Yang, Yun-Bo |
| Author:
|
Jiang, Yao-Lin |
| Author:
|
Kong, Qiong-Xiang |
| Language:
|
English |
| Journal:
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Applications of Mathematics |
| ISSN:
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0862-7940 (print) |
| ISSN:
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1572-9109 (online) |
| Volume:
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64 |
| Issue:
|
5 |
| Year:
|
2019 |
| Pages:
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531-556 |
| Summary lang:
|
English |
| . |
| Category:
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math |
| . |
| Summary:
|
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 (English) |
| Keyword:
|
magnetohydrodynamics equations |
| Keyword:
|
pressure segregation method |
| Keyword:
|
higher order scheme |
| Keyword:
|
stability |
| Keyword:
|
error estimate |
| MSC:
|
65N12 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| idZBL:
|
07144727 |
| idMR:
|
MR4022162 |
| DOI:
|
10.21136/AM.2019.0069-17 |
| . |
| Date available:
|
2019-10-16T10:59:15Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147849 |
| . |
| Reference:
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