TY - JOUR
T1 - Application of High Dimensional B-Spline Interpolation in Solving the Gyro-Kinetic Vlasov Equation Based on Semi-Lagrangian Method
AU - Xiaotao Xiao, Lei Ye, Yingfeng Xu & Shaojie Wang
JO - Communications in Computational Physics
VL - 3
SP - 789
EP - 802
PY - 2017
DA - 2017/09
SN - 22
DO - http://doi.org/10.4208/cicp.OA-2016-0092
UR - https://global-sci.org/intro/article_detail/cicp/9981.html
KW - 
AB - <p style="text-align: justify;">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.</p>