Conservative high precision pseudo arc-length method for strong discontinuity of detonation wave  

作　　者：Tianbao MA Chentao WANG Xiangzhao XU 

机构地区：[1]State Key Laboratory of Explosion Science and Technology,Beijing Institute of Technology,Beijing 100081,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2022年第3期417-436,共20页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11822203 and 12032006)

摘　　要：A hyperbolic conservation equation can easily generate strong discontinuous solutions such as shock waves and contact discontinuity.By introducing the arc-length parameter,the pseudo arc-length method(PALM)smoothens the discontinuous solution in the arc-length space.This in turn weakens the singularity of the equation.To avoid constructing a high-order scheme directly in the deformed physical space,the entire calculation process is conducted in a uniform orthogonal arc-length space.Furthermore,to ensure the stability of the equation,the time step is reduced by limiting the moving speed of the mesh.Given that the calculation does not involve the interpolation process of physical quantities after the mesh moves,it maintains a high computational efficiency.The numerical examples show that the algorithm can effectively reduce numerical oscillations while maintaining excellent characteristics such as high precision and high resolution.

关 键 词：pseudo arc-length method(PALM) CONSERVATIVE strong discontinuity HIGH-ORDER weighted essentially non-oscillatory(WENO) 

分 类 号：O381[理学—流体力学]