G221 特性曲線法を用いた新しい無反射境界条件(G-22 波動・音・衝撃波(2),一般講演)

概要

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Because the computational resources are finite, one needs to truncate the computational domain when he/she simulates a physical problem. This truncation gives rise to non-physical artificial boundaries and one cannot obtain proper solutions without appropriate boundary conditions on such boundaries. Practically nonreflecting boundary conditions, which are boundary conditions that prevent the generation of reflections, are of great importance. Most popular methods for the Navier-Stokes equations right now are boundary conditions by Poinsot and Lele. However, their methods are based on Thompson's boundary condition for the Euler equations, which are essentially one-dimensional, and hence are valid only when the flow is perpendicular to the boundary. Here we propose a boundary condition for the Navier-Stokes equations which does not require the assumption for the direction of flow. Our basic idea is to estimate the direction of the flow with numerical data.
2004-08-09