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Gas-Kinetic method based on unstructured meshes

HE Bing1,FENG Weibing1,ZHANG Wu1,WU Pin1,BAI Wen2,LI Li2(1.School of Computer Eng.& Sci.,Shanghai Univ.,Shanghai 200072,China;2. Aeronautics Computing Technique Research Institute,China Aviation Industry Corp.I,Xi'an 710069,China)  
To solve the computation problem of high-speed fluid considering the condition of complicated geometrical boundary,a Gas-Kinetic method based on unstructured meshes is proposed.In the method,triangle mesh is taken as the computation element for 2D unstructured mesh,and a new method of solution on physical quantity derivatives in the mesh control elements is presented.The flux on the boundary of control volume units is obtained by physical quantity derivatives.Then the flux on boundary and the physical quantities in mesh control units,which are solved at each calculation time step,are used to solve the new physical quantities at the next calculation time step,and the calculation goes on in turn until the numerical results reach convergence.NACA0012 airfoil is used to validate the numerical computation and the results show that the method is simple and efficient.So it can be applied to the computation on low-speed and high-speed fluid.
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