Design of optimally smoothing multistage schemes for the euler equations
dc.contributor.author | van Leer, Bram | en_US |
dc.contributor.author | Lee, Wen‐tzong | en_US |
dc.contributor.author | Roe, Philip L. | en_US |
dc.contributor.author | Powell, Kenneth G. | en_US |
dc.contributor.author | Tai, Chang‐hsien | en_US |
dc.date.accessioned | 2015-07-01T20:56:32Z | |
dc.date.available | 2015-07-01T20:56:32Z | |
dc.date.issued | 1992-10 | en_US |
dc.identifier.citation | van Leer, Bram; Lee, Wen‐tzong ; Roe, Philip L.; Powell, Kenneth G.; Tai, Chang‐hsien (1992). "Design of optimally smoothing multistage schemes for the euler equations." Communications in Applied Numerical Methods 8(10): 761-769. | en_US |
dc.identifier.issn | 0748-8025 | en_US |
dc.identifier.issn | 1555-2047 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/111971 | |
dc.description.abstract | A recently derived local preconditioning of the Euler equations is shown to be useful in developing multistage schemes suited for multigrid use. The effect of the preconditioning matrix on the spatial Euler operator is to equalize the characteristic speeds. When applied to the discretized Euler equations, the preconditioning has the effect of strongly clustering the operator's eigenvalues in the complex plane. This makes possible the development of explicit marching schemes that effectively damp most high‐frequency Fourier modes, as desired in multigrid applications. The technique is the same as developed earlier for scalar convection schemes: placement of the zeros of the amplification factor of the multistage scheme in locations where eigenvalues corresponding to high‐frequency modes abound. | en_US |
dc.publisher | John Wiley & Sons, Ltd | en_US |
dc.title | Design of optimally smoothing multistage schemes for the euler equations | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Computer Science | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109–2140, U.S.A. | en_US |
dc.contributor.affiliationother | Department of Mechanical Engineering, Chung Cheng Institute of Technology, Ta Shi, Tao Yuan, Taiwan, R.O.C. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/111971/1/1630081006_ftp.pdf | |
dc.identifier.doi | 10.1002/cnm.1630081006 | en_US |
dc.identifier.source | Communications in Applied Numerical Methods | en_US |
dc.identifier.citedreference | C.‐H. Tai,‘ Acceleration techniques for explicit Euler codes ’,Ph.D. thesis, University of Michigan, 1990. | en_US |
dc.identifier.citedreference | B. van Leer, C.‐H. Tai and K. G. Powell,‘ Design of optimally‐smoothing multi‐stage schemes for the Euler equations ’,in AIAA 9th Computational Fluid Dynamics Conference, 1989. | en_US |
dc.identifier.citedreference | B. van Leer,‘ Flux‐vector splitting for the Euler equations ’,Lecture Notes in Physics, 170 ( 1982 ). | en_US |
dc.identifier.citedreference | P. L. Roe,‘ Characteristic‐based schemes for the Euler equations ’, Ann. Rev. Fluid Mech., 18, 337 – 365 ( 1986 ). | en_US |
dc.identifier.citedreference | J. Feng and C. L. Merkle,‘ Evaluation of preconditioning methods for time‐marching systems ’,AIAA Paper 90–0016, 1990. | en_US |
dc.identifier.citedreference | E. Turkel,‘ Preconditioned methods for solving the incompressile and low speed compressible equations ’, J. Comput. Phys., 72 ( 1987 ). | en_US |
dc.identifier.citedreference | B. van Leer, W.‐T. Lee and P. L. Roe,‘ Characteristic time‐stepping or local preconditioning of the Euler equations ’,in AIAA 10th Computational Fluid Dynamics Conference, 1991. | en_US |
dc.identifier.citedreference | L. A. Catalano and H. Deconinck,‘ Two‐dimensional optimization of smoothing properties of multistage schemes applied to hyperbolic equations ’,in Proceedings of the Third European Conference on Multigrid Methods, 1990. | en_US |
dc.identifier.citedreference | A. Jameson, W. Schmidt and E. Turkel,‘ Numerical solutions of the Euler equations by a finite‐volume method using Runge‐Kutta time‐stepping schemes ’,AIAA Paper 81–1259, 1981. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.