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Adaptive Multi-Resolution Method for 3D reactive Flows with Level Set Front Capturing

Communications in Computational Physics 2023年第3期33卷 849-883页

作者： Wenhua Ma Dongmi Luo Wenjun Ying Guoxi Ni Min Xiao Yibing Chen Institute of Applied Physics and Computational Mathematics Beijing 100094P.R.China College of Science China University of PetroleumBeijing 102249P.R.China School of Mathematical Sciences Shanghai Jiao Tong UniversityShanghai 200240P.R.China.

For compressible reactive flows with stiff source terms,a new block-based adaptive multi-resolution method coupled with the adaptive multi-resolution representation model for ZND detonation and a conservative front capturing method based on a level-set technique is *** simulating stiff reactive flows,underresolution in space and time can lead to incorrect propagation speeds of discontinuities,and numerical dissipation makes it impossible for traditional shock-capturing methods to locate the detonation *** solve these challenges,the proposed method leverages an adaptive multi-resolution representation model to separate the scales of the reaction from those of fluid dynamics,achieving both high-resolution solutions and high efficiency.A level set technique is used to capture the detonation front sharply and reduce errors due to the inaccurate prediction of detonation *** order to ensure conservation,a conservative modified finite volume scheme is implemented,and the front transition fluxes are calculated by considering a Riemann problem.A series of numerical examples of stiff detonation simulations are performed to illustrate that the present method can acquire the correct propagation speed and accurately capture the sharp detonation *** numerical results also validate the approach’s benefits and excellent performance.

关键词： Compressible reactive flows reactive euler equations three-dimensional simulation adaptive multi-resolution level set method sharp front capturing.

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An Approach to Obtain the Correct Shock Speed for euler equations with Stiff Detonation

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Communications in Computational Physics 2017年第6期22卷 259-284页

作者： Bin Yu Linying Li Bin Zhang Jianhang Wang School of Aeronautics and Astronautics Shanghai Jiao Tong UniversityShanghai 200240China

Incorrect propagation speed of discontinuities may occur by straightforward application of standard dissipative schemes for problems that contain stiff source terms for underresolved grids even for time steps within the CFL *** examining the dissipative discretized counterpart of the euler equations for a detonation problem that consists of a single reaction,detailed analysis on the spurious wave pattern is presented employing the fractional stepmethod,which utilizes the Strang *** the help of physical arguments,a threshold values method(TVM),which can be extended to more complicated stiff problems,is developed to eliminate the wrong shock speed *** single reaction detonations as well as multispecies and multi-reaction detonation test cases with strong stiffness are examined to illustrate the performance of the TVM approach.

关键词： Detonation spurious behavior reactive euler equations threshold values method stiffness

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