Investigation of blending-function-based overlapping-grid technique for compressible flows

Drikakis, Dimitris; Majewski, J.; Rokicki, Jacek; Żółtak, J.

doi:10.1016/s0045-7825(00)00373-x

Cited by 10 publications

(6 citation statements)

References 24 publications

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“…There are two main ways to solve discrete equations on an overlapping mesh system: go back and forth between mesh components (Drakakis et al, 2001) solve all mesh components simultaneously (Hadzic, 2005) Using the former approach, information exchanging between meshes has a lag by an outer iteration and more iterations as well as stronger under-relaxation may be required to achieve a converged solution. In addition, to obtain a consistent pressure field in the entire domain, the reference pressure on each mesh component needs to be corrected in such a way that the pressure levels on all meshes are compatible with each other.…”

Section: Solution Of Discrete Equationsmentioning

confidence: 99%

Application of Overlapping Mesh in Numerical Hydrodynamics

Panahi¹,

Shafieefar²

2009

Polish Maritime Research

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Section: Solution Of Discrete Equationsmentioning

confidence: 99%

Application of Overlapping Mesh in Numerical Hydrodynamics

Panahi¹,

Shafieefar²

2009

Polish Maritime Research

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“…Consider the following approaches in solving the discrete equations extracted from meshes: (a) go back and forth between mesh components [22] , (b) solve all mesh components simultaneously [14] .…”

Section: Solving Sets Of Equationmentioning

confidence: 99%

A finite volume algorithm based on overlapping meshes for simulation of hydrodynamic problems

Panahi

Shfieefar

2009

J. Marine. Sci. Appl.

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A finite volume algorithm was established in order to investigate two-dimensional hydrodynamic problems. These include viscous free surface flow interaction with free rigid bodies in the case of large and/or relative motions. Two-phase flow with complex deformations at the interface was simulated using a fractional step-volume of fluid algorithm. In addition, body motions were captured by an overlapping mesh system. Here, flow variables are transferred using a simple fully implicit non-conservative interpolation scheme which maintains the second-order accuracy of implemented spatial discretisation. Code was developed and an appropriate set of problems investigated. Results show good potential for development of a virtual hydrodynamics laboratory.

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“…The use of a single structured O mesh for this problem leads to very small cell sizes in the vicinity of the trailing edge and a corresponding large computing time penalty. Recent studies [6] suggest the use of several overlapping structured meshes to ÿt this type of geometry, but this approach looks to be quite complicated for practical engineering problems. Instead, we employ here a hybrid approach with an unstructured mesh used to represent the details of the geometry.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…An alternative approach is to use overlapping grids for computational electromagnetics [5], with a modiÿed form of the FDTD algorithm employed on overlapping orthogonal meshes. The e ectiveness of this approach has already been clearly demonstrated in the area of computational uid dynamics [6]. In previous work [7,8], we have followed this method and investigated the performance that can be achieved for simple problems when overlapping orthogonal grids are employed.…”

Section: Introductionmentioning

confidence: 99%

Hybrid methods for electromagnetic scattering simulations on overlapping grids

Hachemi

Hassan

Morgan

et al. 2003

Commun. Numer. Meth. Engng.

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SUMMARYThe numerical simulation of practical electromagnetic scattering problems often involves geometries that are complex in shape and that may contain small scale features. The result is a large scale simulation and this requires solution techniques that are e cient, in terms of both computer time and computer memory requirements. In addition, it is advantageous if the method adopted exhibits a high degree of exibility from the viewpoint of mesh generation. Hybrid methods, based upon the coupling of the structured grid ÿnite di erence time domain approach with an unstructured ÿnite element or ÿnite volume time domain procedure, appear ideally suited to meet these requirements. The structured grid method is memory and time e cient, while the unstructured grid methods readily handle general geometries, allowing detailed deÿnition of small scale features. This paper presents the results of an initial investigation into the possibility exploiting these advantages in electromagnetic scattering simulations.

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Investigation of blending-function-based overlapping-grid technique for compressible flows

Cited by 10 publications

References 24 publications

Application of Overlapping Mesh in Numerical Hydrodynamics

Application of Overlapping Mesh in Numerical Hydrodynamics

A finite volume algorithm based on overlapping meshes for simulation of hydrodynamic problems

Hybrid methods for electromagnetic scattering simulations on overlapping grids

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