Spatially adaptive long-term semi-Lagrangian method for accurate velocity advection

作     者：Takahiro Sato Christopher Batty Takeo Igarashi Ryoichi Ando 

作者机构：The University of Tokyo Tokyo Japan University of Waterloo Waterloo Canada. National Institute of Informatics Japan. 

出 版 物：《Computational Visual Media》 (计算可视媒体（英文版）)

年 卷 期：2018年第4卷第3期

页      面：223-230页

核心收录：

学科分类：0820[工学-石油与天然气工程] 08[工学] 082002[工学-油气田开发工程] 

基　　金：supported by NSERC (Grant RGPIN-04360-2014) JSPS KAKENHI (Grant 17H00752) 

主　　题：fluid simulation advection method ofcharacteristics spatially adaptive inte-gration interpolation error correction 

摘      要：We introduce a new advection scheme for fluid *** main contribution is the use of long-term temporal changes in pressure to extend the commonly used semi-Lagrangian scheme further back along the time *** algorithm starts by tracing sample points along a trajectory following the velocity field backwards in time for many *** this backtracing process,the pressure gradient along the path is integrated to correct the velocity of the current time *** show that our method effectively suppresses numerical diffusion,retains small-scale vorticity,and provides better long-term kinetic energy preservation.