A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes

2002 ◽  
Vol 39 (6) ◽  
pp. 2089-2108 ◽  
Author(s):  
Serge Piperno ◽  
Malika Remaki ◽  
Loula Fezoui
Keyword(s):  
Finite Volume ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Three Dimensional ◽  
Unstructured Meshes ◽  
Finite Volume Scheme ◽  
Volume Scheme

A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh

2015 ◽  
Vol 17 (3) ◽  
pp. 615-656 ◽  
Author(s):  
Marc R. J. Charest ◽  
Clinton P. T. Groth ◽  
Pierre Q. Gauthier
Keyword(s):  
Finite Volume ◽  
Unstructured Mesh ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Viscous Flows ◽  
Unstructured Meshes ◽  
High Order ◽  
Finite Volume Scheme ◽  
Low Speed ◽  
Volume Scheme

AbstractHigh-order discretization techniques offer the potential to significantly reduce the computational costs necessary to obtain accurate predictions when compared to lower-order methods. However, efficient and universally-applicable high-order discretizations remain somewhat illusive, especially for more arbitrary unstructured meshes and for incompressible/low-speed flows. A novel, high-order, central essentially non-oscillatory (CENO), cell-centered, finite-volume scheme is proposed for the solution of the conservation equations of viscous, incompressible flows on three-dimensional unstructured meshes. Similar to finite element methods, coordinate transformations are used to maintain the scheme’s order of accuracy even when dealing with arbitrarily-shaped cells having non-planar faces. The proposed scheme is applied to the pseudo-compressibility formulation of the steady and unsteady Navier-Stokes equations and the resulting discretized equations are solved with a parallel implicit Newton-Krylov algorithm. For unsteady flows, a dual-time stepping approach is adopted and the resulting temporal derivatives are discretized using the family of high-order backward difference formulas (BDF). The proposed finite-volume scheme for fully unstructured mesh is demonstrated to provide both fast and accurate solutions for steady and unsteady viscous flows.

Finite volume scheme for the lattice Boltzmann method on unstructured meshes

1999 ◽  
Vol 59 (4) ◽  
pp. 4675-4682 ◽  
Author(s):  
Gongwen Peng ◽  
Haowen Xi ◽  
Comer Duncan ◽  
So-Hsiang Chou
Keyword(s):  
Lattice Boltzmann Method ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Unstructured Meshes ◽  
Finite Volume Scheme ◽  
Volume Scheme ◽  
Boltzmann Method

A Numerical Model to Predict the Thermal and Psychrometric Response of Electronic Packages

1999 ◽  
Vol 123 (3) ◽  
pp. 200-210 ◽  
Author(s):  
J. V. C. Vargas ◽  
G. Stanescu ◽  
R. Florea ◽  
M. C. Campos
Keyword(s):  
Differential Equations ◽  
Physical Model ◽  
Finite Volume ◽  
Three Dimensional ◽  
Computational Time ◽  
Finite Volume Scheme ◽  
Electronic Packages ◽  
Simulation Design ◽  
Experimental Conditions ◽  
Volume Scheme

This paper introduces a general computational model for electronic packages, e.g., cabinets that contain electronic equipment. A simplified physical model, which combines principles of classical thermodynamics and heat transfer, is developed and the resulting three-dimensional differential equations are discretized in space using a three-dimensional cell centered finite volume scheme. Therefore, the combination of the proposed simplified physical model with the adopted finite volume scheme for the numerical discretization of the differential equations is called a volume element model (VEM). A typical cabinet was built in the laboratory, and two different experimental conditions were tested, measuring the temperatures at forty-six internal points. The proposed model was utilized to simulate numerically the behavior of the cabinet operating under the same experimental conditions. Mesh refinements were conducted to ensure the convergence of the numerical results. The converged mesh was relatively coarse (504 cells), therefore the solutions were obtained with low computational time. The model temperature results were directly compared to the steady-state experimental measurements of the forty-six internal points, with good quantitative and qualitative agreement. Since accuracy and low computational time are combined, the model is shown to be efficient and could be used as a tool for simulation, design, and optimization of electronic packages.

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