Grid Convergence Study of Spectral Volume Method for Hybrid Unstructured Mesh

2019 ◽  
Vol 18 (0) ◽  
pp. 9-18
Author(s):  
Yuta SAWAKI ◽  
Yuichi KUYA ◽  
Keisuke SAWADA
Keyword(s):  
Unstructured Mesh ◽  
Spectral Volume ◽  
Grid Convergence ◽  
Convergence Study ◽  
Volume Method

Improved Spectral Volume Method (SV+Method) for Hybrid Unstructured Mesh

2016 ◽  
Author(s):  
Yuta Sawaki ◽  
Takanori Haga ◽  
Yousuke Ogino ◽  
Soshi Kawai ◽  
Keisuke Sawada
Keyword(s):  
Unstructured Mesh ◽  
Spectral Volume ◽  
Volume Method

Hierarchical reconstruction for spectral volume method on unstructured grids

2009 ◽  
Vol 228 (16) ◽  
pp. 5787-5802 ◽  
Author(s):  
Zhiliang Xu ◽  
Yingjie Liu ◽  
Chi-Wang Shu
Keyword(s):  
Unstructured Grids ◽  
Spectral Volume ◽  
Volume Method

Higher Resolution Hybrid-Upwind Spectral Finite-Volume Methods, for Flow in Porous and Fractured Media on Unstructured Grids

2021 ◽  
Author(s):  
Yawei Xie ◽  
Michael G. Edwards
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Unstructured Grids ◽  
Concentration Field ◽  
Convective Transport ◽  
High Order ◽  
Spectral Volume ◽  
Flux Approximation ◽  
Triangular Cell ◽  
Volume Method

Abstract A novel higher resolution spectral volume method coupled with a control-volume distributed multi-Point flux approximation (CVD-MPFA) is presented on unstructured triangular grids for subsurface reservoir simulation. The flow equations involve an essentially hyperbolic convection equation coupled with an elliptic pressure equation resulting from Darcy’s law together with mass conservation. The spectral volume (SV) method is a locally conservative, efficient high-order finite volume method for convective flow. In 2D geometry, the triangular cell is subdivided into sub-cells, and the average state variables in the sub-cells are used to reconstruct a high-order polynomial in the triangular cell. The focus here is on an efficient strategy for reconstruction of both a higher resolution approximation of the convective transport flux and Darcy-flux approximation on sub-cell interfaces, which is also coupled with a discrete fracture model. The strategy involves coupling of the SV method and reconstructed CVD-MPFA fluxes at the faces of the spectral volume, to obtain an efficient finer scale higher resolution finite-volume method which solves for both the saturation and pressure. A limiting procedure based on a Barth-Jespersen type limiter is used to prevent non-physical oscillations on unstructured grids. The fine scale saturation/concentration field is then updated via the reconstructed finite volume approximation over the sub-cell control-volumes. Performance comparisons are presented for two phase flow problems on 2D unstructured meshes including fractures. The results demonstrate that the spectral-volume method achieves further enhanced resolution of flow and fronts in addition to that of achieved by the standard higher resolution method over first order upwind, while improving upon efficiency.

scholarly journals Inhibition of Ekortikus Island Expansion in Banyuasin Estuary, South Sumatra Modelling by Using Finite Volume Method with Unstructured Mesh

2015 ◽  
Vol 8 (3) ◽  
Author(s):  
Zulbahrum Caniago ◽  
Ibrahim. Eddy ◽  
Ridho. M R ◽  
Ngudiantoro Ngudiantoro ◽  
Bernas. Siti M
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Unstructured Mesh ◽  
Volume Method

scholarly journals A 3D Unstructured Mesh FDTD Scheme for EM Modelling

2020 ◽  
Vol 28 (1) ◽  
pp. 181-213
Author(s):  
A. Gansen ◽  
M. El Hachemi ◽  
S. Belouettar ◽  
O. Hassan ◽  
K. Morgan
Keyword(s):  
Unstructured Mesh ◽  
Fdtd Method ◽  
Solution Approach ◽  
Transmission Problems ◽  
Electromagnetic Interactions ◽  
Tetrahedral Elements ◽  
Hexahedral Elements ◽  
Volume Method ◽  
Difference Time

AbstractThe Yee finite difference time domain (FDTD) algorithm is widely used in computational electromagnetics because of its simplicity, low computational costs and divergence free nature. The standard method uses a pair of staggered orthogonal cartesian meshes. However, accuracy losses result when it is used for modelling electromagnetic interactions with objects of arbitrary shape, because of the staircased representation of curved interfaces. For the solution of such problems, we generalise the approach and adopt an unstructured mesh FDTD method. This co-volume method is based upon the use of a Delaunay primal mesh and its high quality Voronoi dual. Computational efficiency is improved by employing a hybrid primal mesh, consisting of tetrahedral elements in the vicinity of curved interfaces and hexahedral elements elsewhere. Difficulties associated with ensuring the necessary quality of the generated meshes will be discussed. The power of the proposed solution approach is demonstrated by considering a range of scattering and/or transmission problems involving perfect electric conductors and isotropic lossy, anisotropic lossy and isotropic frequency dependent chiral materials.

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