Unsteady flow simulation using unstructured meshes
Transient flows involving moving boundaries are more difficult to simulate, as the geometry of the computational domain changes with time. Regardless of the changes occurring in the solution, the mesh must be modified during the computation in order to accommodate the changes in the geometry. Althou...
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| Published in | Computer methods in applied mechanics and engineering Vol. 189; no. 4; pp. 1247 - 1275 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.01.2000
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| Online Access | Get full text |
| ISSN | 0045-7825 1879-2138 |
| DOI | 10.1016/S0045-7825(99)00376-X |
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| Abstract | Transient flows involving moving boundaries are more difficult to simulate, as the geometry of the computational domain changes with time. Regardless of the changes occurring in the solution, the mesh must be modified during the computation in order to accommodate the changes in the geometry. Although the literature on this subject describes a number of different approaches for handling this type of problem, the approach followed in this paper is to use unstructured mesh methods. We consider, initially, the simulation of inviscid two-dimensional transient flows involving moving bodies, employing an extension of adaptivity procedures which have been successfully used for steady state problems with the error estimation procedure coupled to an automatic triangular mesh generator. This approach is extended to produce a three-dimensional capability using tetrahedral meshes. A number of examples are included to illustrate the numerical performance of these methods. |
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| AbstractList | Transient flows involving moving boundaries are more difficult to simulate, as the geometry of the computational domain changes with time. Regardless of the changes occurring in the solution, the mesh must be modified during the computation in order to accommodate the changes in the geometry. Although the literature on this subject describes a number of different approaches for handling this type of problem, the approach followed in this paper is to use unstructured mesh methods. We consider, initially, the simulation of inviscid two-dimensional transient flows involving moving bodies, employing an extension of adaptivity procedures which have been successfully used for steady state problems with the error estimation procedure coupled to an automatic triangular mesh generator. This approach is extended to produce a three-dimensional capability using tetrahedral meshes. A number of examples are included to illustrate the numerical performance of these methods. |
| Author | Morgan, K. Hassan, O. Weatherill, N.P. Probert, E.J. |
| Author_xml | – sequence: 1 givenname: O. surname: Hassan fullname: Hassan, O. – sequence: 2 givenname: E.J. surname: Probert fullname: Probert, E.J. – sequence: 3 givenname: K. surname: Morgan fullname: Morgan, K. – sequence: 4 givenname: N.P. surname: Weatherill fullname: Weatherill, N.P. |
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| Cites_doi | 10.1088/0034-4885/61/6/001 10.1016/0045-7825(84)90153-1 10.1002/nme.1620320514 10.1002/fld.1650200805 10.1016/0021-9991(87)90093-3 10.1093/comjnl/24.2.162 10.1016/0956-0521(90)90012-A 10.1002/nme.1620261002 10.1016/0045-7825(89)90024-8 10.1016/0021-9991(79)90051-2 10.1016/0307-904X(88)90009-1 10.2514/6.1990-1649 10.1002/nme.1620320407 10.1016/0956-0521(91)90014-V 10.2514/6.1988-4359 10.1016/0045-7825(87)90098-3 10.1016/0021-9991(73)90147-2 10.2514/6.1981-1259 |
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| References_xml | – year: 1957 ident: BIB30 publication-title: Elements of Gas Dynamics – reference: J.T. Batina, Three dimensional flux-split Euler schemes involving unstructured dynamic meshes, AIAA Paper 90-1649, 1990 – volume: 12 start-page: 175 year: 1988 end-page: 181 ident: BIB7 article-title: Simulation of store separation by the finite element method publication-title: Applied Mathematical Modelling – volume: 26 start-page: 2135 year: 1988 end-page: 2159 ident: BIB12 article-title: Finite element Euler computations in three dimensions publication-title: International Journal for Numerical Methods in Engineering – volume: 31 start-page: 335 year: 1979 end-page: 362 ident: BIB19 article-title: Fully multidimensional flux corrected transport algorithm for fluids publication-title: Journal of Computational Physics – volume: 24 start-page: 162 year: 1981 end-page: 166 ident: BIB25 article-title: Computing Dirichlet tessellations publication-title: The Computer Journal – reference: K. Morgan, J. Peraire, An adaptive implicit/explicit finite element scheme for compressible viscous high speed flows, AIAA Paper 89-0363, 1989 – volume: 2 start-page: 135 year: 1991 end-page: 148 ident: BIB29 article-title: Partitioning of unstructured problem for parallel processing publication-title: Computational Systems Engineering – volume: 61 start-page: 323 year: 1987 end-page: 338 ident: BIB1 article-title: An adaptive finite element scheme for transient scheme for transient problems in CFD publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 75 start-page: 195 year: 1989 end-page: 214 ident: BIB2 article-title: Adaptive remeshing for transient problems publication-title: Computer Methods in Applied Mechanics and Engineering – reference: P.G. Bunning, I.T. Chiu, S. Obayashi, Y.M. Rizk, J.L. Steger, Numerical simulation of the integrated space shuttle vehicle in ascent, AIAA Paper 88-4359, 1988 – volume: 72 start-page: 449 year: 1987 end-page: 466 ident: BIB14 article-title: Adaptive remeshing for compressible flow computations publication-title: Journal of Computational Physics – reference: W. Schmidt A. Jameson, E. Turkel, Numerical simulation of the Euler equations by finite volume methods using Runge–Kutta time stepping schemes, AIAA Paper 81-1259, 1981 – reference: R. Löhner, J.D. Baum, Numerical simulations of shock interaction with complex geometry three dimensional structures using a new adaptive h-refinement scheme on unstructured grids, AIAA Paper 90-0700, 1990 – start-page: 1161 year: 1995 end-page: 1168 ident: BIB10 article-title: 3-D unstructured method for flows past bodies in 6-DOF relative motion publication-title: Proceedings of the Sixth International Symposium on Computational Fluid Dynamics – reference: K. Morgan R. Löhner, O.C. Zienkiewicz, Adaptive grid refinement for the compressible Euler equations, in: I. Babuska et al. (Eds.), Accuracy Estimates and Adaptive Refinements in Finite Element Computations, Wiley, Chichester, 1986, pp. 281–297 – reference: D.P. Hills, Numerical aerodynamics: past successes and future challenges from an industrial point of view, in: J.-A. Désodéri et al. (Eds.), Computational Methods in Applied Sciences'96-Invited Lecturers and Special Technological Sessions of the ECCOMAS Conferences, Wiley, Chichester, 1996, pp. 166–173 – reference: J. Peiró, A finite element procedure for the solution of the Euler equations using unstructured meshes, Ph.D. thesis, University of Wales Swansea, C/Ph/126/89, 1989 – volume: 1 start-page: 257 year: 1990 end-page: 272 ident: BIB3 article-title: Three dimensional fluid-structure interaction using a finite element solver and adaptive remeshing publication-title: Computer Systems Engineering – reference: K. Morgan O. Hassan, J. Peraire, An implicit finite element method for high flows, AIAA Paper 90-0402, 1990 – reference: C. Fahrat, Hight performance simulation of coupled nonlinear transient aeroelastic problems, In: Course on Parallel Computing in CFD, AGARD-R-807, Paris, 1995 – volume: 61 start-page: 560 year: 1998 end-page: 638 ident: BIB16 article-title: Unstructured grid finite-element methods for fluid mechanics publication-title: Reports on Progress in Physics – reference: N.P. Weatherill, O. Hassan, Efficient three dimensional grid generation using Delaunay triangulation, in: C. Hirsch et al. (Eds.), Proceedings of the 1st European Computational Fluid Dynamics Conference, Elsevier, Amsterdam, 1992 – volume: 32 start-page: 1145 year: 1991 end-page: 1159 ident: BIB27 article-title: An adaptive finite element method for transient compressible flows publication-title: International Journal for Numerical Methods in Engineering – reference: F.C. Dougherty, J.A. Benek, J.L. Steger, On the application of a chimera grid scheme to store separation, Technical report, NASA TM-88193, 1995 – reference: R.H. Landon, NACA0012 oscillating and transient pitching, data set 3, in: Compendium of Unsteady Aerodynamic Measurement, AGARD-R-702, Paris, 1982 – reference: M.R. Baum, Pressure vessel rupture within a chamber, Experimental and Fluid Science, 1991 – volume: 11 start-page: 38 year: 1979 end-page: 69 ident: BIB18 article-title: Flux corrected transport, a transport algorithm that works publication-title: Journal of Computational Physics – volume: 20 start-page: 743 year: 1995 end-page: 776 ident: BIB20 article-title: Positive schemes and shock modelling for compressible flows publication-title: International Journal for Numerical Methods in Fluids – volume: 32 start-page: 751 year: 1991 end-page: 765 ident: BIB28 article-title: An adaptive finite element method for transient compressible flows with moving boundaries publication-title: International Journal for Numerical Methods in Engineering – volume: 45 start-page: 123 year: 1984 end-page: 146 ident: BIB21 article-title: Time accurate solution of advection-diffusion problems by finite elements publication-title: Computer Methods in Applied Mechanical Engineering – reference: J. Peraire, K. 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In: Conference Proceedings No: 464 – Applications of Mesh Generation to Complex 3D Configurations, AGARD, Paris, 1990, pp. 18.1–18.12 – ident: 10.1016/S0045-7825(99)00376-X_BIB4 – ident: 10.1016/S0045-7825(99)00376-X_BIB15 – volume: 61 start-page: 560 year: 1998 ident: 10.1016/S0045-7825(99)00376-X_BIB16 article-title: Unstructured grid finite-element methods for fluid mechanics publication-title: Reports on Progress in Physics doi: 10.1088/0034-4885/61/6/001 – ident: 10.1016/S0045-7825(99)00376-X_BIB13 – ident: 10.1016/S0045-7825(99)00376-X_BIB11 – volume: 45 start-page: 123 year: 1984 ident: 10.1016/S0045-7825(99)00376-X_BIB21 article-title: Time accurate solution of advection-diffusion problems by finite elements publication-title: Computer Methods in Applied Mechanical Engineering doi: 10.1016/0045-7825(84)90153-1 – ident: 10.1016/S0045-7825(99)00376-X_BIB23 – volume: 32 start-page: 1145 year: 1991 ident: 10.1016/S0045-7825(99)00376-X_BIB27 article-title: An adaptive finite element method for transient compressible flows publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620320514 – ident: 10.1016/S0045-7825(99)00376-X_BIB8 – ident: 10.1016/S0045-7825(99)00376-X_BIB26 – volume: 20 start-page: 743 year: 1995 ident: 10.1016/S0045-7825(99)00376-X_BIB20 article-title: Positive schemes and shock modelling for compressible flows publication-title: International Journal for Numerical Methods in Fluids doi: 10.1002/fld.1650200805 – ident: 10.1016/S0045-7825(99)00376-X_BIB24 – volume: 72 start-page: 449 year: 1987 ident: 10.1016/S0045-7825(99)00376-X_BIB14 article-title: Adaptive remeshing for compressible flow computations publication-title: Journal of Computational Physics doi: 10.1016/0021-9991(87)90093-3 – start-page: 1161 year: 1995 ident: 10.1016/S0045-7825(99)00376-X_BIB10 article-title: 3-D unstructured method for flows past bodies in 6-DOF relative motion – volume: 24 start-page: 162 year: 1981 ident: 10.1016/S0045-7825(99)00376-X_BIB25 article-title: Computing Dirichlet tessellations publication-title: The Computer Journal doi: 10.1093/comjnl/24.2.162 – ident: 10.1016/S0045-7825(99)00376-X_BIB32 – volume: 1 start-page: 257 year: 1990 ident: 10.1016/S0045-7825(99)00376-X_BIB3 article-title: Three dimensional fluid-structure interaction using a finite element solver and adaptive remeshing publication-title: Computer Systems Engineering doi: 10.1016/0956-0521(90)90012-A – volume: 26 start-page: 2135 year: 1988 ident: 10.1016/S0045-7825(99)00376-X_BIB12 article-title: Finite element Euler computations in three dimensions publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620261002 – volume: 75 start-page: 195 year: 1989 ident: 10.1016/S0045-7825(99)00376-X_BIB2 article-title: Adaptive remeshing for transient problems publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/0045-7825(89)90024-8 – volume: 31 start-page: 335 year: 1979 ident: 10.1016/S0045-7825(99)00376-X_BIB19 article-title: Fully multidimensional flux corrected transport algorithm for fluids publication-title: Journal of Computational Physics doi: 10.1016/0021-9991(79)90051-2 – volume: 12 start-page: 175 year: 1988 ident: 10.1016/S0045-7825(99)00376-X_BIB7 article-title: Simulation of store separation by the finite element method publication-title: Applied Mathematical Modelling doi: 10.1016/0307-904X(88)90009-1 – ident: 10.1016/S0045-7825(99)00376-X_BIB22 – ident: 10.1016/S0045-7825(99)00376-X_BIB9 doi: 10.2514/6.1990-1649 – ident: 10.1016/S0045-7825(99)00376-X_BIB5 – volume: 32 start-page: 751 year: 1991 ident: 10.1016/S0045-7825(99)00376-X_BIB28 article-title: An adaptive finite element method for transient compressible flows with moving boundaries publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620320407 – volume: 2 start-page: 135 year: 1991 ident: 10.1016/S0045-7825(99)00376-X_BIB29 article-title: Partitioning of unstructured problem for parallel processing publication-title: Computational Systems Engineering doi: 10.1016/0956-0521(91)90014-V – year: 1957 ident: 10.1016/S0045-7825(99)00376-X_BIB30 – ident: 10.1016/S0045-7825(99)00376-X_BIB6 doi: 10.2514/6.1988-4359 – volume: 61 start-page: 323 year: 1987 ident: 10.1016/S0045-7825(99)00376-X_BIB1 article-title: An adaptive finite element scheme for transient scheme for transient problems in CFD publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/0045-7825(87)90098-3 – volume: 11 start-page: 38 year: 1979 ident: 10.1016/S0045-7825(99)00376-X_BIB18 article-title: Flux corrected transport, a transport algorithm that works publication-title: Journal of Computational Physics doi: 10.1016/0021-9991(73)90147-2 – ident: 10.1016/S0045-7825(99)00376-X_BIB31 – ident: 10.1016/S0045-7825(99)00376-X_BIB17 doi: 10.2514/6.1981-1259 |
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