Diffusion regulation for Euler solvers

Jaisankar, S.; Rao, S. V. Raghurama

doi:10.1016/j.jcp.2006.06.030

Cited by 25 publications

(25 citation statements)

References 25 publications

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“…The DRLLF scheme is briefly discussed here since, in the later part of this paper, the formulation of the scheme is used to further reduce its numerical diffusion. In the DRLLF scheme, the flux at the cell interface is given by [15],…”

Section: The Schemes For Computing the Inviscid And Viscous Fluxesmentioning

confidence: 99%

“…In the original paper [15] the value of δ = 0.5 was found to work for the inviscid test cases. From Eq.…”

Section: The Schemes For Computing the Inviscid And Viscous Fluxesmentioning

confidence: 99%

“…However, van Leer's FVS is found to give poor accuracy for viscous flow computations. For the present computations, 15 Trailing edge u-velocity profile for the adiabatic wall condition. Gradients at the cell-interfaces are computed using Green's theorem the DRLLF (δ = 0.2) scheme is found with higher overall accuracy than the AUSM scheme.…”

Section: Comparison Of Cpu-timementioning

confidence: 99%

“…Jaisankar and Raghurama Rao [15] introduced a Diffusion Regulation (DR) parameter which was used to regulate the inherent numerical diffusion of different schemes. Later on Jaisankar and Sheshadri [16] introduced another parameter called Directional Diffusion Regulation (DDR) parameter for introducing multidimensional physics into the computations.…”

Section: Introductionmentioning

confidence: 99%

“…Later on Jaisankar and Sheshadri [16] introduced another parameter called Directional Diffusion Regulation (DDR) parameter for introducing multidimensional physics into the computations. The DR parameter and DDR parameter were coupled with the LLF scheme and the new schemes were named as DRLLF [15] and DDRLLF [16] respectively. For the computation of the Euler equations for high-speed inviscid flows, the DRLLF scheme is found to be more competitive as compared to the DDRLLF scheme in terms of versatility, robustness, computational time and accuracy [19].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Effects of Numerical Diffusion on the Computation of Viscous Supersonic Flow Over a Flat Plate

Kalita

Dass

Sarma

2015

Int. J. Appl. Comput. Math

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The effects of numerical diffusion on the computation of supersonic viscous flow over a flat plate at zero incidences are numerically investigated. The inviscid flux terms in the Navier-Stokes equations are computed using three schemes, namely, van Leer's Flux Vector Splitting, Liou and Steffen's Advection Upstream Splitting Method (AUSM) and Jaisankar and Raghurama Rao's Diffusion Regulated Local Lax Friedrichs (DRLLF) schemes. The results are correlated with the inherent numerical diffusion of these schemes. The study is also motivated by the necessity to examine whether reduced artificial viscosity can be used with the DRLLF scheme in computing viscous flows than was suggested in the original paper on inviscid computation. It is demonstrated that reduced artificial viscosity is not only possible, but it results in a scheme that is very efficient in the computation of the standard supersonic viscous flow over a flat plate, in that it is comparable in accuracy to the AUSM scheme in the boundary layer and better than it in shock resolution. Even with the reduced artificial viscosity suggested in this paper the DRLLF scheme shows good convergence behaviour comparable with the other two schemes.

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Section: The Schemes For Computing the Inviscid And Viscous Fluxesmentioning

confidence: 99%

“…In the original paper [15] the value of δ = 0.5 was found to work for the inviscid test cases. From Eq.…”

Section: The Schemes For Computing the Inviscid And Viscous Fluxesmentioning

confidence: 99%

Section: Comparison Of Cpu-timementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effects of Numerical Diffusion on the Computation of Viscous Supersonic Flow Over a Flat Plate

Kalita

Dass

Sarma

2015

Int. J. Appl. Comput. Math

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A new matrix dissipation model for central scheme

Chen

Yamamoto

2013

Numerical Methods in Fluids

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SUMMARYIn this paper, a simple and efficient improvement to the famous Swanson–Turkel matrix dissipation model for the central scheme is proposed. In the new matrix dissipation model, the accuracy is improved by eliminating the second‐difference dissipation added to the characteristic fields representing the vorticity waves. This strategy is proposed based on analyzing the flow‐physics about shock‐vortex interaction using the Rankine–Hugoniot jump condition. In this paper, the behavior of central scheme for rotational flow is also theoretically and numerically analyzed. Results show a newfound problem of the original scalar and matrix dissipation models, in which for rotational flow excessive second‐difference dissipation is added due to the pressure‐based shock sensor. With current new matrix dissipation model improved accuracy is obtained at minimal cost overhead, especially, in the highly vortical region where the second‐difference dissipation is reduced. At the same time, it preserves the excellent shock capturing capability and convergence speed of original method. Numerical properties of this new matrix dissipation model are validated with a series of numerical experiments and results comparison with original model verifies improved performance of current method. Copyright © 2013 John Wiley & Sons, Ltd.

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Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump

Ketcheson

Luna

2022

Numerical Methods in Fluids

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We investigate the numerical artifact known as a carbuncle, in the solution of the shallow water equations. We propose a new Riemann solver that is based on a local measure of the entropy residual and aims to avoid carbuncles while maintaining high accuracy. We propose a new challenging test problem for shallow water codes, consisting of a steady circular hydraulic jump that can be physically unstable. We show that numerical methods are prone to either suppress the instability completely or form carbuncles. We test existing cures for the carbuncle. In our experiments, only the proposed method is able to avoid unphysical carbuncles without suppressing the physical instability.

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Diffusion regulation for Euler solvers

Cited by 25 publications

References 25 publications

Effects of Numerical Diffusion on the Computation of Viscous Supersonic Flow Over a Flat Plate

Effects of Numerical Diffusion on the Computation of Viscous Supersonic Flow Over a Flat Plate

A new matrix dissipation model for central scheme

Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump

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