Diffuse approximation and control-volume-based finite-element methods: A comparative study

Prax C.; Sadat H.; Salagnac P.

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Diffuse approximation and control-volume-based finite-element methods: A comparative study

机译：基于扩散近似和基于控制量的有限元方法的比较研究

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This article presents a comparison for several test cases between the diffuse approximation method (DAM) and the control-volume finite element method (CVFEM). The diffuse approximation method is a relatively new numerical approach that does not need a finite-element mesh to solve fluid flow and heat transfer problems in complex geometries. It appears that the two methods provide similar accurate results. However, when some manipulations of the grids are needed during the calculation process, such as a local refinement, the use of a simple set of nodes appears to be less time consuming, as shown in the last example. [References: 22]

机译：本文介绍了扩散近似方法（DAM）和控制体积有限元方法（CVFEM）之间的几个测试案例的比较。扩散近似方法是一种相对较新的数值方法，不需要有限元网格即可解决复杂几何形状中的流体流动和传热问题。看来这两种方法提供了相似的准确结果。但是，当在计算过程中需要对网格进行某些操作（例如局部优化）时，使用一组简单的节点似乎会减少耗时，如最后一个示例所示。 [参考：22]

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《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |1998年第3期|共19页
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Prax C.; Sadat H.; Salagnac P.;
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正文语种 eng
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1. Diffuse approximation and control-volume-based finite-element methods: A comparative study [J] . Prax C., Sadat H., Salagnac P. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 1998,第3期

机译：基于扩散近似和基于控制量的有限元方法的比较研究
2. Numerical simulation of convection-diffusion problems by the control-volume-based finite-element method [J] . Neves O.A., Rom?o E.C., Silva J.B.C., Numerical Heat Transfer, Part A. Application: An International Journal of Computation and Methodology . 2010,第7a12期

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3. A Comparative Evaluation of the Scalar and Vector Approximations of Sought Quantities in the Finite-Element Method of Arbitrary Shells [J] . Yu. V. Klochkov, A. P. Nikolaev, T. A. Kiseleva Journal of Machinery Manufacture and Reliability . 2015,第2期

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4. Comparative Study of Approximation Models by the Diffusion Theory and Adjustments of the Fourier Series by Characterization of the Response of Diffused Reflectance Radial Resolved [C] . Aaron A. Munoz Morales, Sergio Vazquez y Montiel Mexican Symposium on Medical Physics . 2012

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8. Contribution to the Theoretical Study and Finite-Element Approximation of theMultidimensional, Multispecies, Hyperbolic System of Gas Dynamics [R] . Croisille, J. 1993

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Diffuse approximation and control-volume-based finite-element methods: A comparative study

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