Application of high dimensional B-spline interpolation in solving the gyro-kinetic Vlasov equation based on semi-Lagrangian method. (English) Zbl 1488.76114
Summary: The computation efficiency of high dimensional (3D and 4D) B-spline interpolation, constructed by classical tensor product method, is improved greatly by precomputing the B-spline function. This is due to the character of NLT code, i.e. only the linearised characteristics are needed so that the unperturbed orbit as well as values of the B-spline function at interpolation points can be precomputed at the beginning of the simulation. By integrating this fixed point interpolation algorithm into NLT code, the high dimensional gyro-kinetic Vlasov equation can be solved directly without operator splitting method which is applied in conventional semi-Lagrangian codes. In the Rosenbluth-Hinton test, NLT runs a few times faster for Vlasov solver part and converges at about one order larger time step than conventional splitting code.
MSC:
| 76M99 | Basic methods in fluid mechanics |
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 82D10 | Statistical mechanics of plasmas |
Keywords:
high-dimensional interpolation; semi-Lagrangian; gyro-kinetic simulation; numerical Lie transformReferences:
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