OpenMP + MPI parallel implementation of a numerical method for solving a kinetic equation

被引：0
作者：
V. A. Titarev
S. V. Utyuzhnikov
A. V. Chikitkin
机构：
[1] Russian Academy of Sciences,Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
[2] Moscow Institute of Physics and Technology,undefined
[3] University of Manchester,undefined
来源：
Computational Mathematics and Mathematical Physics | 2016年 / 56卷
关键词：
S-model; computational rarefied gas dynamics; unstructured mesh; implicit TVD scheme; OpenMP; MPI; supercomputer computations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A two-level OpenMP + MPI parallel implementation is used to numerically solve a model kinetic equation for problems with complex three-dimensional geometry. The scalability and robustness of the method are demonstrated by computing the classical gas flow through a circular pipe of finite length and the flow past a reentry vehicle model. It is shown that the two-level model significantly speeds up the computations and improves the scalability of the method.
引用
收藏
页码：1919 / 1928
页数：9
相关论文
共 55 条
[1]  
Titarev V. A.(2010)Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes Comput. Math. Math. Phys. 50 1719-1733
[2]  
Titarev V. A.(2012)Efficient deterministic modeling of three-dimensional rarefied gas flows Commun. Comput. Phys. 12 161-192
[3]  
Dumbser M.(2013)Implicit multiblock method for solving a kinetic equation on unstructured meshes Comput. Math. Math. Phys. 53 601-615
[4]  
Titarev B. A.(2014)Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions J. Comput. Phys. 256 17-33
[5]  
Utyuzhnikov S. V.(2012)Parallel software package NOISETTE for large-scale computation of aerodynamic and aeroacoustic applications Vychisl. Metody Program. 13 110-125
[6]  
Titarev V. A.(2015)Parallel technology for numerical modeling of fluid dynamics problems by high-accuracy algorithms Comput. Math. Math. Phys. 55 638-649
[7]  
Dumbser M.(1968)Generalization of the Krook relaxation kinetic equation Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 5 142-145
[8]  
Utyuzhnikov S. V.(2014)Software package Nesvetai-3D for modeling three-dimensional rarefied monatomic gas flows Nauka Obrazovanie Mosk. Gos. Tekh. Univ. im. N.E.^Baumana. Elektron. Zh. 6 124-154
[9]  
Abalakin I. V.(2007)Conservative numerical methods for model kinetic equations Comput. Fluids 36 1446-1459
[10]  
Bakhvalov P. A.(2000)Discrete-velocity models and numerical schemes for the Boltzmann–BGK equation in plane and axisymmetric geometries J. Comput. Phys. 162 429-466
123456