HIGHER-ORDER COMPACT SCHEMES FOR NUMERICAL SIMULATION OF INCOMPRESSIBLE FLOWS, PART I: THEORETICAL DEVELOPMENT
HIGHER-ORDER COMPACT SCHEMES FOR NUMERICAL SIMULATION OF INCOMPRESSIBLE FLOWS, PART I: THEORETICAL DEVELOPMENT
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DOI：
10.1080/10407790151074932
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发表时间：
2001-03
影响因子：
1
通讯作者：
A. Demuren;R. Wilson;M. Carpenter
中科院分区：
文献类型：
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作者：
A. Demuren;R. Wilson;M. Carpenter
本文发展了一种求解不可压Navier-Stokes方程的高精度数值方法。它是基于低存储Runge-Kutta格式的时间离散和四阶和六阶紧凑的有限差分格式的空间离散。对压力泊松方程求解中奇偶解耦问题的消除提出了新的见解。为了获得一致的全局精度，有必要在泊松方程的离散化中采用相同的精度阶数。精度和鲁棒性问题的解决，在第二部分中的几个相关的基准问题的应用。
A higher-order-accurate numerical procedure has been developed for solving incompressible Navier-Stokes equations for fluid flow problems. It is based on low-storage Runge-Kutta schemes for temporal discretization and fourth- and sixth-order compact finite-difference schemes for spatial discretization. New insights are presented on the elimination of the odd-even decoupling problem in the solution of the pressure Poisson equation. For consistent global accuracy, it is necessary to employ the same order of accuracy in the discretization of the Poisson equation. Accuracy and robustness issues are addressed by application to several pertinent benchmark problems in Part II.