High-order/spectral methods on unstructured grids.

  • 1.45 MB
  • 6010 Downloads
  • English

ICASE, National Aeronautics and Space Administration, Langley Research Center, Available from NASA Center for Aerospace Information , Hampton, VA, Hanover, MD
Boundary conditions., Computational electromagnetics., Computational grids., Domains., Maxwell equation., Unstructured grids (Mathema
Other titlesHigh order spectral methods on unstructured grids., Time-domain solution of Maxwell"s equations.
StatementJ.S. Hesthaven and I. Warburton ; [prepared for ... under contract NAS1-97046].
SeriesICASE report -- no. 2001-6., [NASA contractor report] -- NASA/CR-2001-210836., NASA contractor report -- NASA CR-210836.
ContributionsWarburton, I., Institute for Computer Applications in Science and Engineering.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL18171269M

High-order/Spectral Methods on Unstructured Grids I. Time-domain Solution of Maxwell’s Equations J.S. Hesthaven and T. Warburton Brown University, Providence, Rhode Island ICASE NASA Langley Research Center Hampton, Virginia Operated by Universities Space Research Association March Prepared for Langley Research Center under Contract NAS1.

Careful choices of the unstructured nodal grid points ensure high- order/ spectral accuracy, while the equations themselves are satisfied in a discontinuous Galerkin form. grid adaptation is also considerably easier within a fully unstructured grid form ulation.

It is with these issues in mind that w e presen t an ab initio dev elopmen of a computational framew ork that com bines the strengths of a high-order/sp ectral for-m ulation with the exibilit y of a fully unstructured grid. The form relies on the.

Details High-order/spectral methods on unstructured grids. PDF

A high-order spectral difference method for unstructured dynamic grids M.L. Yu⇑, Z.J. Wang, H. Hu Department of Aerospace Engineering, Iowa State University, Ames, IAUnited States article info Article history: Received 8 May Received in revised form 22 February Accepted 31 March Available online 12 April Keywords.

High-Order Spectral Volume Method for the Navier-Stokes Equations on Unstructured Grids Yuzhi Sun* and Z.J. Wang† Department of Mechanical Engineering, Michigan State University, East Lansing, MI In this paper, the spectral volume (SV) method is extended to solve the Navier-Stokes.

Careful choices of the unstructured nodal grid points ensure high-order/spectral accuracy, while the equations themselves are satised in a discontinuous Galerkin form with the boundary conditions being enforced weakly through a penalty term. Stabilization of High-Order Methods for Unstructured Grids with Local Fourier Spectral Filtering: high-Re Simulations in Coarse Meshes.

Manuel R. López-Morales and Antony Jameson. INTRODUCTION Many areas require a very high-order accurate numerical solution of conservation laws for complex shapes. This paper deals with the extension to three dimensions of the Spectral Finite Volume (SV) method for unstructured grids, which was developed to solve such problems [].

In this study, the high-order spectral-difference Raviart-Thomas (SDRT) method is successfully extended to simulate viscous flows using unstructured grids.

The stability of SDRT scheme on meshes with quadrilateral elements and Author: Mao Li, Zihua Qiu, Chunlei Liang, Michael Sprague, Min Xu, Charles A.

Description High-order/spectral methods on unstructured grids. FB2

Garris. Implementing high order method like spectral difference trough UDF in FLUENT, would be engaging as turning a granny into a miss Venezuela. I can suggest you few other alternatives. Check out Nek a free Spectral Element Method (SEM) code (it used to be Nekton in the late 80's).

High-order methods (order of accuracy >2) have shown promise in handling such flows. For example, high-order compact methods were demonstrated to produce much better results than low-order ones [18], [19].

In order to limit the scope of the present paper, we only discuss unstructured grid-based high-order by: This thesis focuses on the development of high-order finite volume methods and discontinuous Galerkin methods, and presents possible solutions to a number of important and common problems encountered in high-order methods, such as the shock-capturing strategy and curved boundary treatment, then applies these methods to solve compressible : Hardcover.

An efficient implementation of the high-order spectral volume (SV) method is presented for multi-dimensional conservation laws on unstructured grids. In the SV method, each simplex cell is called a spectral volume (SV), and the SV is further subdivided into polygonal (2D), or polyhedral (3D) control volumes (CVs) to support high-order data : HarrisRob, LiuYen.

A parameter-free limiting technique is developed for high-order unstructured-grid methods to capture discontinuities when solving hyperbolic conservation laws.

The technique is based on a “troubled-cell” approach, in which cells requiring limiting are first marked, and then a limiter is applied to these marked Size: 1MB. Therefore, a number of adaptive high-order methods capable of handling unstructured grids have been developed over the past few decades [22, 23].

Author: Z. Wang. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Navier–Stokes Bio-inspired flow a b s t r a c t A high-order spectral difference (SD) method has been further extended to solve the three dimensional compressible Navier–Stokes (N–S) equations on deformable dynamic meshes.

In the SD method, the solution is approximated with piece-wise. @article{osti_, title = {Final Report - High-Order Spectral Volume Method for the Navier-Stokes Equations On Unstructured Tetrahedral Grids}, author = {Wang, Z J}, abstractNote = {The overriding objective for this project is to develop an efficient and accurate method for capturing strong discontinuities and fine smooth flow structures of disparate length scales with unstructured grids.

conservation laws on unstructured grids following the one-dimensional framework presented in [38]. We wish to pursue a numerical method for conservation laws which has all of the following properties: a) conservative, b) high-order accuracy, i.e., the order of accuracy is greater thanFile Size: 2MB.

An Unstructured Grid Implementation of High-Order Spectral Finite Volume Schemes In the present paper, however, the authors assume that the computa-tional mesh is always composed of triangular elements. Hence, al-though the theoretical formulation is presented for the general case, the actual SV partition schemes are only implemented for triangular.

The spectral volume (SV) and the spectral difference (SD) methods were developed by Wang and Liu and their collaborators for conservation laws on unstructured grids. They were introduced to achieve high-order accuracy in an efficient manner.

Recently, these methods were extended to three-dimensional systems and to the Navier Stokes : Ravishekar Kannan.

What distinguishes the SV method from conventional high-order finite-volume methods for unstructured triangular or tetrahedral grids is the data reconstruction. Instead of using a large stencil of neighboring cells to perform a high-order reconstruction, the stencil is constructed by partitioning each grid cell, called a spectral volume (SV), into 'structured' sub.

Download High-order/spectral methods on unstructured grids. EPUB

High-Order Spectral Volume Method for the Navier-Stokes Equations on Unstructured Grids. High order spectral volume and spectral difference methods on unstructured grids by Ravishekar Kannan A dissertation submitted to the graduate faculty in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Major: Aerospace Engineering Program of Study Committee: Zhi Jian Wang, Major Professor Tom Shih Paul DurbinCited by: 3.

Efficient Quadrature-Free 3D High-Order Spectral Volume Method on Unstructured Grids Michael Yang1, Rob Harris2 and Z.J. Wang3 Department of Aerospace Engineering, Iowa State University, Ames, IA and Yen Liu4 NASA Ames Research Center, Moffett Field CA () Three-dimensional elastic wave numerical modelling in the presence of surface topography by a collocated-grid finite-difference method on curvilinear grids.

Geophysical Journal InternationalCited by: Spectral Difference Method for Unstructured Grids II: Extension to the Euler Equations Z.

Wang,1,4 Yen Liu,2 Georg May,3 and Antony Jameson3 Received J ; accepted (in revised form) Septem ; Published online December 7, An efficient, high-order, conservative method named the spectral difference.

An efficient implementation of the high-order spectral volume (SV) method is presented for multi-dimensional conservation laws on unstructured grids. In the SV method, each simplex cell is called a spectral volume (SV), and the SV is further subdivided into polygonal (2D), or polyhedral (3D) control volumes (CVs) to support high-order data : Robert Evan Harris.

solver for unstructured grids is not impervious to this problem. Its stability is generally highly dependent on the quality of the grid.

This paper describes the implementation of the Local Fourier-spectral (LFS) filters, developed by Asthana and the authors, in HiFiLES, and shows the results of high-Re simulations in coarse, unstructured 2D.

Abstract An efficient implementation of the high-order spectral volume (SV) method is presented for multi-dimensional conservation laws on unstructured grids.

In the SV method, each simplex cell is called a spectral volume (SV), and the SV is further subdivided into polygonal (2D), or polyhedral (3D) control volumes (CVs) to support high-order. @article{osti_, title = {A New High-Order Spectral Difference Method for Simulating Viscous Flows on Unstructured Grids with Mixed Elements}, author = {Li, Mao and Qiu, Zihua and Liang, Chunlei and Sprague, Michael and Xu, Min}, abstractNote = {In the present study, a new spectral difference (SD) method is developed for viscous flows on meshes with a mixture.

Residual Minimisation methods such as GMRES, or simpler Gauss-Seidel methods) the matrix-vectorA.X iscomputedmanytimes,buttherighthandsideterm,B collectingallexplicitterms (includingthedeferredcorrection)isonlycomputedonce.

A different type of correction for non-orthogonality, called ”least-squares gradientreconstruc-tion” Size: KB.Get this from a library! High-order/spectral methods on unstructured grids. I, Time-domain solution of Maxwell's equations. [J S Hesthaven; I Warburton; Institute for Computer Applications in Science and Engineering.].

Two-Dimensional Flood Simulation on Unstructured Grids World Environmental and Water Resource Congress Examining the Confluence of Environmental and Water Concerns April Flood and Shock Waves Simulation by Using Finite Volume Technique on Unstructured Meshes.