通过泰勒展式系数匹配的方法发展了基于非等距网格的有限容积紧致格式,采用延迟修正的方法建立了基于SIMPLE的紧致方法,,该方法能够得到高精度的数值解,增加迭代求解代数方程组的稳定性。对底部加热的方腔内自然对流换热问题进行数值模拟,结果表明,紧致方法比二阶中心差分方法具有更高的精度。
A compact finite volume scheme on non-uniform grid is developed by matching the Taylor series of various orders.The compact method based on SIMPLE is achieved by deferred correction method,and it can achieve the high order accurate solutions and enhance the iterative stabilization of solving linear equations.The problem of natural convection heat transfer of cavity heated from below is computed by this method.Numerical results show that the compact scheme has higher accuracy than two-order central difference scheme.
参考文献
| [1] | Ming Li;Bengt Fornberg .A COMPACT FOURTH-ORDER FINITE DIFFERENCE SCHEME FOR THE STEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS[J].International Journal for Numerical Methods in Fluids,1995(10):1137-1151. |
| [2] | Zhang KKQ;Shotorban B;Minkowycz WJ;Mashayek F .A compact finite difference method on staggered grid for Navier-Stokes flows[J].International Journal for Numerical Methods in Fluids,2006(8):867-881. |
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