Multiblock hybrid grid finite volume method to solve flow in irregular geometries

Darbandi, Masoud; Naderi, Alireza

doi:10.1016/j.cma.2006.04.005

Cited by 33 publications

(33 citation statements)

References 51 publications

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“…Equation (16) indicates that (≡ u, v) at a cell face can be approximated by the proper assemblage of (≡ U, V ) and P magnitudes at the cell centres of the element, which surrounds that cell face. In fact, this approximation is known as the pressure-weighted streamline upwinding scheme [9][10][11][12][13].…”

Section: Computational Modellingmentioning

confidence: 99%

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Using fully implicit conservative statements to close open boundaries passing through recirculations

Darbandi

Vakilipour

2006

Numerical Methods in Fluids

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SUMMARYThe numerical solution of the fluid flow governing equations requires the implementation of certain boundary conditions at suitable places to make the problem well-posed. Most of numerical strategies exhibit weak performance and obtain inaccurate solutions if the solution domain boundaries are not placed at adequate locations. Unfortunately, many practical fluid flow problems pose difficulty at their boundaries because the required information for solving the PDE's is not available there. On the other hand, large solution domains with known boundary conditions normally need a higher number of mesh nodes, which can increase the computational cost. Such difficulties have motivated the CFD workers to confine the solution domain and solve it using artificial boundaries with unknown flow conditions prevailing there. In this work, we develop a general strategy, which enables the control-volume-based methods to close the outflow boundary at arbitrary locations where the flow conditions are not known prior to the solution. In this regard, we extend suitable conservative statements at the outflow boundary. The derived statements gradually detect the correct boundary conditions at arbitrary boundaries via an implicit procedure using a finite element volume method. The extended statements are validated by solving the truncated benchmark backward-facing step problem. The investigation shows that the downstream boundary can pass through a recirculation zone without deteriorating the accuracy of the solution either in the domain or at its boundaries. The results indicate that the extended formulation is robust enough to be employed in solution domains with unknown boundary conditions.

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Section: Computational Modellingmentioning

confidence: 99%

“…Darbandi et al [11,12] have already extended the method to use triangular elements. Recently, Darbandi and Naderi [13] extended the method to hybrid grid applications. The method has already shown excellent performance and accuracy if the outflow conditions are imposed at proper locations with known boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Using fully implicit conservative statements to close open boundaries passing through recirculations

Darbandi

Vakilipour

2006

Numerical Methods in Fluids

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“…No crosswind diffusion is observed here. Indeed, the current authors had previously shown that the PIS provides very accurate solutions on non-deformable meshes, even employing very coarse grid distributions, see References [14,15,18,19].…”

Section: Resultsmentioning

confidence: 96%

Developing a unified FVE‐ALE approach to solve unsteady fluid flow with moving boundaries

Naderi

Darbandi

Taeibi-Rahni

2009

Numerical Methods in Fluids

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SUMMARYIn this study, an arbitrary Lagrangian-Eulerian (ALE) approach is incorporated with a mixed finitevolume-element (FVE) method to establish a novel moving boundary method for simulating unsteady incompressible flow on non-stationary meshes. The method collects the advantages of both finite-volume and finite-element (FE) methods as well as the ALE approach in a unified algorithm. In this regard, the convection terms are treated at the cell faces using a physical-influence upwinding scheme, while the diffusion terms are treated using bilinear FE shape functions. On the other hand, the performance of ALE approach is improved by using the Laplace method to improve the hybrid grids, involving triangular and quadrilateral elements, either partially or entirely. The use of hybrid FE grids facilitates this achievement. To show the robustness of the unified algorithm, we examine both the first-and the second-order temporal stencils. The accuracy and performance of the extended method are evaluated via simulating the unsteady flow fields around a fixed cylinder, a transversely oscillating cylinder, and in a channel with an indented wall. The numerical results presented demonstrate significant accuracy benefits for the new hybrid method on coarse meshes and where large time steps are taken. Of importance, the current method yields the second-order temporal accuracy when the second-order stencil is used to discretize the unsteady terms.

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“…이러한 형상에 대한 점성유동 수치해석기법으로서 다블록 격자 방법 (Darbandi & Naderi, 2006;Park, et al, 2003), 비정렬 격자 방법 (Jawahar & Kamath, 2000;Shin & Kim, 2004;Kim & Ha, 2002 …”

Section: 서 론 최근 컴퓨터의 발달과 함께 격자 생성 및 유동장 수치해석법에unclassified

Numerical Analysis of Viscous Flows on Unstructured Grids Using the Optimal Method of Strongly Implicit Procedure

Shin

2012

Journal of the Society of Naval Architects of Korea

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In this study, numerical analysis of viscous flows is carried out based on the unstructured grid. There exist some difficulties in expressing and computing numerical derivatives on the unstructured grid due to lack of the structured characteristics. The general computer algorithms are developed to perform numerical derivatives easily and extended to be applicable to various geometries composed of hybrid meshes. And the optimal method of strongly implicit procedure is newly contrived to accelerate the rate of convergence in solving the pressure Poisson equation. To verify numerical schemes, the driven cavity problems of 2 and 3 dimension are simulated. The numerical results are compared with others and our numerical schemes are shown to be valid.

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Multiblock hybrid grid finite volume method to solve flow in irregular geometries

Cited by 33 publications

References 51 publications

Using fully implicit conservative statements to close open boundaries passing through recirculations

Using fully implicit conservative statements to close open boundaries passing through recirculations

Developing a unified FVE‐ALE approach to solve unsteady fluid flow with moving boundaries

Numerical Analysis of Viscous Flows on Unstructured Grids Using the Optimal Method of Strongly Implicit Procedure

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