Improved formulations of the discretized pressure equation and boundary treatments in co-located equal-order control-volume finite-element methods for incompressible fluid flow

Lamoureux A.; Baliga B.R.

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Improved formulations of the discretized pressure equation and boundary treatments in co-located equal-order control-volume finite-element methods for incompressible fluid flow

机译：离散压力方程的改进公式和边界处理在不可压缩流体流的同位同等控制量有限元方法中

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Improved formulations of the discretized pressure equation and boundary treatments in co-located, equal-order, control-volume finite-element methods for the prediction of incompressible fluid flow are presented in the context of steady, planar two-dimensional problems. Three-node triangles and polygonal-cross-section control volumes, created by joining element centroids to midpoints of the sides, are used. The proposed improvements maintain the strength of coefficients in the discretized pressure equations, and help in keeping them diagonally dominant. Thus they facilitate convergence of iterative solution methods and the results do not display physically untenable features. Solutions of two test problems are presented and discussed.

机译：在稳态平面二维问题的背景下，提出了离散压力方程和边界处理的改进公式，这些方法用于同时定位，等阶，控制体积的有限元方法来预测不可压缩的流体流动。使用通过将元素质心连接到边的中点而创建的三节点三角形和多边形横截面控制体积。所提出的改进可以保持离散压力方程中系数的强度，并有助于使它们保持对角线主导地位。因此，它们有助于迭代求解方法的收敛，并且结果不会显示出物理上站不住脚的特征。提出并讨论了两个测试问题的解决方案。

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《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |2011年第6期|共31页
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Lamoureux A.; Baliga B.R.;
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正文语种 eng
中图分类热力工程、热机;
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1. Improved Formulations of the Discretized Pressure Equation and Boundary Treatments in Co-Located Equal-Order Control-Volume Finite-Element Methods for Incompressible Fluid Flow [J] . Alexandre Lamoureuxa amp, B. Rabi Baligaa* Numerical Heat Transfer, Part B: Fundamentals . 2011,第6期

机译：不可压缩流体同位置等阶控制量有限元方法中离散压力方程式和边界处理的改进公式
2. A control-volume finite-element method (CVFEM) for unsteady, incompressible, viscous fluid flows [J] . Silva JBC., de Moura LFM. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2001,第1期

机译：控制量有限元方法（CVFEM）用于不稳定，不可压缩的粘性流体流
3. AN EQUAL-ORDER VELOCITY-PRESSURE ALGORITHM FOR INCOMPRESSIBLE THERMAL FLOWS .1. FORMULATION [J] . Nonino C., Comini G. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 1997,第1期

机译：不可压缩热流的等阶速度-压力算法1。公式
4. An Improved Scheme for Pressure-Velocity Coupling in Control-Volume Based Finite-Element Discretization [C] . S.A. Mohsen Karimian, Anthony G. Straatman Eleventh Annual Conference on the CFD Society of Canada Vol.1; May 28-30, 2003; Vancouver . 2003

机译：基于控制量的有限元离散化中压力-速度耦合的改进方案
5. Numerical methods for fourth-order partial differential equations: Incompressible fluid flow and phase separation. [D] . Kim, Tae-Yeon. 2007

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Improved formulations of the discretized pressure equation and boundary treatments in co-located equal-order control-volume finite-element methods for incompressible fluid flow

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