Abstract
It is considered Harlow's particle-in-cell method modification which consists in the use of finite-size particles for two dimensional gasdynamics computations. The algorithm for computation of motion of finite size particles is described. It is shown that the use of finite size particles can lead to the local violation of the approximation of original differential equations. However the quantities obtained by averaging the numerical solution over certain spatial subdomains approximate the conservation laws. It is shown that if the characteristic particle dimensions tend to zero, then themodified particle-in-cell method passes to the original Harlow's method. Results of numerical experiments are given to illustrate the properties of the modified particle-in-cell method.
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