scholarly journals 3D Finite Volume Modeling of ENDE Using ElectromagneticT-Formulation

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Yue Li ◽  
Gérard Berthiau ◽  
Mouloud Feliachi ◽  
Ahmed Cheriet
Keyword(s):  
Finite Volume ◽  
Maxwell Equations ◽  
Benchmark Problems ◽  
Work Piece ◽  
Impedance Change ◽  
Improved Method ◽  
Inconel 600 ◽  
Volume Modeling ◽  
Volume Method ◽  
Good Agreement

An improved method which can analyze the eddy current density in conductor materials using finite volume method is proposed on the basis of Maxwell equations andT-formulation. The algorithm is applied to solve 3D electromagnetic nondestructive evaluation (E’NDE) benchmark problems. The computing code is applied to study an Inconel 600 work piece with holes or cracks. The impedance change due to the presence of the crack is evaluated and compared with the experimental data of benchmark problems No. 1 and No. 2. The results show a good agreement between both calculated and measured data.

A New High-Order Compact Scheme of Unstructured Finite Volume Method

2016 ◽  
Vol 13 (05) ◽  
pp. 1650022
Author(s):  
Lei Fu ◽  
Shuai Zhang ◽  
Yao Zheng
Keyword(s):  
High Order ◽  
Compact Scheme ◽  
Benchmark Problems ◽  
High Order Scheme ◽  
Gradient Reconstruction ◽  
Order Scheme ◽  
Volume Method ◽  
Unstructured Finite Volume Method ◽  
High Order Compact Scheme ◽  
Good Agreement

A compact high-order scheme has been successfully proposed and verified in this paper. In this scheme, the traditional gradient reconstruction was replaced with a compact scheme. There were no needs to modify the process and algorithms of unstructured FVM including boundary conditions, flux technique, limiter functions and so on. Both memory and computation loads with the new scheme were not increased than the traditional one. Additionally, we modified Venkatakrishnan limiter to suppress numerical oscillation. The proposed compact scheme and modified Venkatakrishnan limiter have been verified with numerical experiments on benchmark problems. Numerical results showed good agreement with those obtained by other methods.

A Finite Volume Method for the Two-dimensional Stationary Navier — Stokes System

2006 ◽  
Vol 6 (2) ◽  
pp. 134-153
Author(s):  
K. Djadel ◽  
S. Nicaise
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Stokes System ◽  
Mesh Size ◽  
Analytic Solutions ◽  
Navier Stokes ◽  
Benchmark Problems ◽  
Error Norm ◽  
Energy Error ◽  
Volume Method

AbstractIn this paper we extend to the stationary incompressible Navier — Stokes system in dimension two the results obtained in [14, 26] for a cell-centered finite volume method applied to the stationary incompressible Stokes system. Here the nonlinear term is discretized as in [15]. We prove that the energy error norm is bounded by h, where h is the mesh size, under the standard assumption that the datum is small enough with respect to the viscosity parameter. Numerical tests on examples with analytic solutions and on standard benchmark problems from fluid mechanics are presented and confirm the theoretical results.

A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media

1990 ◽  
Vol 112 (2) ◽  
pp. 415-423 ◽  
Author(s):  
G. D. Raithby ◽  
E. H. Chui
Keyword(s):  
Heat Transfer ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Radiant Heat ◽  
Computational Grids ◽  
Benchmark Problems ◽  
Radiant Heat Transfer ◽  
Test Results ◽  
Participating Media ◽  
Volume Method

A new “finite-volume” method is proposed to predict radiant heat transfer in enclosures with participating media. The method can conceptually be applied with the same nonorthogonal computational grids used to compute fluid flow and convective heat transfer. A fairly general version of the method is derived, and details are illustrated by applying it to several simple benchmark problems. Test results indicate that good accuracy is obtained on coarse computational grids, and that solution errors diminish rapidly as the grid is refined.

scholarly journals The Finite Volume Formulation for 2D Second-Order Elliptic Problems with Discontinuous Diffusion/Dispersion Coefficients

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
Stefano Ferraris ◽  
Ivan Bevilacqua ◽  
Davide Canone ◽  
Davide Pognant ◽  
Maurizio Previati
Keyword(s):  
Finite Volume ◽  
Discontinuous Coefficients ◽  
Benchmark Problems ◽  
Dispersion Coefficients ◽  
Numerical Resolution ◽  
Two Space Dimensions ◽  
Second Order Elliptic Problems ◽  
Volume Method ◽  
Discontinuous Diffusion ◽  
Diffusion Problems

We propose a finite volume method for the numerical resolution of two-dimensional steady diffusion problems with possibly discontinuous coefficients on unstructured polygonal meshes. Our numerical method is cellcentered, secondorder accurate on smooth solutions and based on a special numerical treatment of the diffusion/dispersion coefficients that makes its application possible also when such coefficients are discontinuous. Numerical experiments confirm the convergence of the numerical approximation and show a good behavior on a set of benchmark problems in two space dimensions.

An integrated algorithm for hypersonic fluid-thermal-structural numerical simulation

2018 ◽  
Vol 32 (12n13) ◽  
pp. 1840022 ◽  
Author(s):  
Jia-Wei Li ◽  
Jiang-Feng Wang
Keyword(s):  
Heat Transfer ◽  
Numerical Simulation ◽  
Stainless Steel ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Physical Processes ◽  
Steel Cylinder ◽  
Integrated Method ◽  
Volume Method ◽  
Good Agreement

In this paper, a fluid-structural-thermal integrated method is presented based on finite volume method. A unified integral equations system is developed as the control equations for physical process of aero-heating and structural heat transfer. The whole physical field is discretized by using an up-wind finite volume method. To demonstrate its capability, the numerical simulation of Mach 6.47 flow over stainless steel cylinder shows a good agreement with measured values, and this method dynamically simulates the objective physical processes. Thus, the integrated algorithm proves to be efficient and reliable.

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