dorsal/arxiv
View SchemaComparison of time splitting and backsubstitution methods for integrating Vlasov's equation with magnetic fields
| Authors | H. Schmitz, R. Grauer |
|---|---|
| Categories | |
| ArXiv ID | physics/0603208 |
| URL | https://arxiv.org/abs/physics/0603208 |
| DOI | 10.1016/j.cpc.2006.02.007 |
Abstract
The standard approach for integrating the multidimensional Vlasov equation using grid based, conservative schemes is based on a time splitting approach. Here, we show that although the truncation error is of second order, time splitting can introduce systematic heating of the plasma. We introduce a backsubstitution method, which not only avoids this deficiency but also is computationally less expensive. The general approach is demonstrated in conjunction with Boris' scheme for evaluating the characteristics.
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"abstract": "The standard approach for integrating the multidimensional Vlasov equation\nusing grid based, conservative schemes is based on a time splitting approach.\nHere, we show that although the truncation error is of second order, time\nsplitting can introduce systematic heating of the plasma. We introduce a\nbacksubstitution method, which not only avoids this deficiency but also is\ncomputationally less expensive. The general approach is demonstrated in\nconjunction with Boris\u0027 scheme for evaluating the characteristics.",
"arxiv_id": "physics/0603208",
"authors": [
"H. Schmitz",
"R. Grauer"
],
"categories": [
"physics.comp-ph",
"physics.plasm-ph"
],
"doi": "10.1016/j.cpc.2006.02.007",
"title": "Comparison of time splitting and backsubstitution methods for integrating Vlasov\u0027s equation with magnetic fields",
"url": "https://arxiv.org/abs/physics/0603208"
},
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