A three-dimensional, block-structured finite element grid generationscheme

Ecer, A.; Spyropoulos, John T.; Maul, J. D.

doi:10.2514/3.9114

Cited by 10 publications

(3 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We want to emphasize that the geometric 3-D requirements of the wirebasket DDM are not an issue here because the proposed DDM would be coupled to existing ( [25,39,24]) grid generator and geometry preprocessor codes that have been specifically designed to provide that information in a most efficient manner.…”

Section: A Stabilized Fe Proceduresmentioning

confidence: 99%

See 1 more Smart Citation

A new scheme for the incompressible Navier-Stokes equations employing alternating-direction operator splitting and domain decomposition

Spyropoulos

Douglas

Lyrintzis

1998

36th AIAA Aerospace Sciences Meeting and Exhibit

View full text Add to dashboard Cite

This paper extends earlier research in numerical analysis and computational fluid dynamics (CFD) to obtain a novel finite element method for transient 3-D incompressible Navier-Stokes equations, along with efficient, parallelizable algorithms to cary out an implementation of the method in such a fashion as to be useful in mainstream industrial settings. The approach is based on a flexible operator-splitting technique due to one of the authors that allows the introduction of increasingly complex physics one step at a time. The approach should also allow treating potential flow, Euler flow, and Navier-Stokes flow simultaneously in different parts of the flow region. Parallelization is achieved through domain decomposition techniques. A new type of Eulerian time discretization is employed to increase accuracy and maintain computational efficiency.This new finite element procedure employs alternating-direction operator splittings in conjuction with Strang-type splittings to model problems of increasing complexity in a step-by-step and natural manner. Later, it can be extended to include additional operators e.g. for turbulence modeling, chemical reactions, etc. In addition to being practical from the standpoint of software design and of engineering analysis, its development and implementation allows the use of specialized numerical methods for the solution of each phys-*Ph.D student, IN 47907; Associate Fellow AIAA.ical phenomenon modeled. The scheme employs a characteristic-Galerkin method for the numerical treatment of the nonlinear advection operator. Non-overlapping domain decomposition schemes are employed for the solution of linear Stokes-type subproblems and for the matching of the inviscid and viscous solutions in different subdomains. These problems are solved by Bramble-Pasciakt Schatz wirebasket domain decomposition methods in a stabilized mixed finite element method* formulation. The scheme is coupled to an exf isting grid generator code that provides globally unstructured, but locally structured grids, within each subdomain. Preliminaries MotivationThis paper concerns extension of earlier research done in applied mathematics, numerical analysis, and computational fluid dynamics (CFD) to produce a novel application of the finite element method to the unsteady 3-D incompressible Navier-Stokes (NS) equations of fluid dynamics. The long-term goal of this project is to render CFD simulations feasible in a mainstream industrial setting, where there is a need for software to handle arbitrarily-complex shapes -other than airfoils and wings.The finite element method has been established as the method of choice in industrial structural mechanics applications. No other numerical method possesses the versatility for handling complicated geometrical shapes and associated boundary conditions. The method handles unstructured grids in a natural manner.Aside from geometric considerations, other important areas of concern are the cost and the feasibility of the computations. As a practical matter, 1 Downloaded by Stanford...

show abstract

Section: A Stabilized Fe Proceduresmentioning

confidence: 99%

“…The overall philosophy follows that used in [25,39,24,26], in the sense that globallyunstructured grids for realistic configurations are generated by restricting the domain discontinuities (e.g., wings, engines, etc.) at the subdomain boundaries.…”

Section: Motivationmentioning

confidence: 99%

A new scheme for the incompressible Navier-Stokes equations employing alternating-direction operator splitting and domain decomposition

Spyropoulos

Douglas

Lyrintzis

1998

36th AIAA Aerospace Sciences Meeting and Exhibit

View full text Add to dashboard Cite

show abstract

“…Imafuku and Kodera [20] have presented a mesh generation method for quadrilateral zones. Ecer et al [21] have developed computational grid around an aircraft using a block-structured finite element grid generation method. It has been mentioned by them that the finite element grid generation is fastest procedure to generate grid in many cases and allows explicit control of grid distribution.…”

Section: Introductionmentioning

confidence: 99%

Isoparametric Finite Element Method to Generate Structured Grid for Numerical Flow Simulation

Mehta

2023

joast

View full text Add to dashboard Cite

Eight-nodded quadrilateral finite element is used to generate structured grid for a numerical simulation. The computational domain is sub-divided into number of quadrilateral regions that display the geometry of each sub-domain. The inner and the outer boundaries of the computational domain are described in terms of the surface coordinates. An algebraic homotopy procedure is used to generate grid clustering in order to resolve boundary layer. The structured grid is linked with the flow solver based on finite volume of space discretiztion scheme with multi-stage Runge-Kutta time stepping technique. Examples are illustrated to demonstrate the grid generation procedure and data processing for a forward facing aero-disc spike attached to a hemispherical blunt body at Mach 6 and over a heat shield of a satellite launch vehicle at Mach 0.8 at an angle of attack 5 deg. The present grid generation method is convenient for checking the grid independence test by varying the stretching factor. The quadrilateral grid generated by finite element, vector plot of velocity and contour plots of the computed flow field data are easily drawn with the help of MATLAB.

show abstract

Bibliography

2008

Mesh Generation

View full text Add to dashboard Cite

A three-dimensional, block-structured finite element grid generationscheme

Cited by 10 publications

References 4 publications

A new scheme for the incompressible Navier-Stokes equations employing alternating-direction operator splitting and domain decomposition

A new scheme for the incompressible Navier-Stokes equations employing alternating-direction operator splitting and domain decomposition

Isoparametric Finite Element Method to Generate Structured Grid for Numerical Flow Simulation

Bibliography

Contact Info

Product

Resources

About