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Third-Order Upwind Finite-Difference Scheme in Numerical Analysis for Initial-Value Problems

机译:初值问题数值分析中的三阶迎风有限差分格式

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The purpose of this paper is to present highly accurate and stable numerical solutions for the time-dependent Navier-Stokes equations. This numerical method utilizes uniformly third-order finite-difference scheme based on Quadratic Upstream Interpolation for Convective Kinematics with Estimated Streaming Terms(QUICKEST) combined with the Marker and Cell computing technique(QUICKESTMAC) for unsteady convection-dominated flows. The solutions for a time-marching square cavity flow are obtained with Reynolds number 10,000 and the computed results prove the validity of this QUICKESTMAC method. (Atomindex citation 17:028983)

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