A Highly Accurate Modified Method of Characteristics for Convection-dominated Flow Problems
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0039 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0039 | ||
| 245 | 0 | 2 | |a A Highly Accurate Modified Method of Characteristics for Convection-dominated Flow Problems |h [Elektronische Daten] |
| 520 | 3 | |a High-order accurate methods for convection-dominated flow problems have the potential to reduce the computational effort required for a given order of solution accuracy. The state of the art in this field is more advanced for Eulerian methods than for semi-Lagrangian methods. In this paper, we introduce a new higher order approach that is based on combining the modified method of characteristics with the gradients computed during solution reconstruction. Special attention is given to the class of third-order schemes which uses a higher-order method to calculate the departure points and a high-order polynomial reconstruction to interpolate the solution at the characteristic feet. Numerical experiments are carried out on several benchmark transport-diffusion equations including incompressible Navier-Stokes problems. The computed results support our expectations for a robust and high-order accurate method. | |
| 540 | |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. | ||
| 690 | 7 | |a modified method of characteristics |2 nationallicence | |
| 690 | 7 | |a higher order advective schemes |2 nationallicence | |
| 690 | 7 | |a advection-diffusion equations |2 nationallicence | |
| 690 | 7 | |a incompressible Navier-Stokes problems |2 nationallicence | |
| 700 | 1 | |a Machmoum |D Ahmed |u Facult´e des Sciences, LIMI, Universit´e Ibn Zohr, B.P. 28/S Agadir, Morocco. | |
| 700 | 1 | |a Seaïd |D Mohammed |u Fachbereich Mathematik, TU Darmstadt, 64289 Darmstadt, Germany. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/4(2003), 623-646 |x 1609-4840 |q 3:4<623 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0039 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0039 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Machmoum |D Ahmed |u Facult´e des Sciences, LIMI, Universit´e Ibn Zohr, B.P. 28/S Agadir, Morocco | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Seaïd |D Mohammed |u Fachbereich Mathematik, TU Darmstadt, 64289 Darmstadt, Germany | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/4(2003), 623-646 |x 1609-4840 |q 3:4<623 |1 2003 |2 3 |o cmam | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||