山西大学学报(自然科学版)2024,Vol.47Issue(2):425-434,10.DOI:10.13451/j.sxu.ns.2023115
适用于气相爆轰数值模拟的WENO-THINC有限顺风格式
A WENO-THINC Finite Downwind Scheme for the Simulations of Gaseous Detonation
摘要
Abstract
In response to the problem of high numerical dissipation in the WENO(Weighted Essentially Non-oscillatory)finite differ-ence scheme and inaccurate simulation of detonation wave positions in coarse grids,a high-resolution and low dissipation WENO-THINC finite downwind scheme was constructed.The numerical flux was calculated using WENO reconstruction and THINC(Tan-gent of Hyperbola Interface Capturing)reconstruction,respectively.The numerical flux closest to the finite downwind flux was se-lected for spatial discretization.This scheme only requires 2~3 transition points at contact discontinuities,ensuring the stability of the numerical format while greatly improving the resolution of the traditional WENO scheme at contact discontinuities.Numerical experiments show that the scheme can obtain the correct detonation wave position even when using coarse grid to calculate the deto-nation wave propagation problem,and there is no non-physical structure,which indicates that its numerical dissipation is very small.Compared with the traditional WENO finite difference scheme,it is more suitable for engineering scale numerical simulation of gas-eous detonation.关键词
WENO有限差分格式/THINC重构/数值模拟/高精度数值格式Key words
WENO finite difference scheme/THINC reconstruction/numerical simulation/high order numerical scheme分类
军事科技引用本文复制引用
钱琛庚,杨同会,昝文涛..适用于气相爆轰数值模拟的WENO-THINC有限顺风格式[J].山西大学学报(自然科学版),2024,47(2):425-434,10.基金项目
火灾与爆炸安全防护重庆市重点实验室(军用油库安全与设施设备评测实验室)开放基金(LQ21KFJJ03) (军用油库安全与设施设备评测实验室)
国家自然科学基金(12002043) (12002043)