A Boltzmann scheme with physically relevant discrete velocities for Euler equations

Raghavendra, N. V.; Rao, S. V. Raghurama

doi:10.48550/arxiv.1612.07911

Cited by 2 publications

(2 citation statements)

References 24 publications

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“…A similar strategy was introduced by N.Venkata Raghavendra in 41,42 to design an accurate contact-discontinuity capturing discrete velocity Boltzmann scheme for inviscid compressible flows.…”

Section: Movers Without Wave Speed Correction -Movers+mentioning

confidence: 99%

Robust and accurate central algorithms for Multi-Component mixture equations with Stiffened gas EOS

Kolluru,

Rao,

Sekhar

2021

Preprint

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Simple and robust algorithms are developed for compressible Euler equations with stiffened gas equation of state (EOS), representing gaseous mixtures in thermal equilibrium and without chemical reactions. These algorithms use fully conservative approach in finite volume frame work for approximating the governing equations.Also these algorithms used central schemes with controlled numerical diffusion for this purpose. Both Mass fraction ( ) and based models are used with RICCA and MOVERS+ algorithms to resolve the basic features of the flow fields. These numerical schemes are tested thoroughly for pressure oscillations and preservation of the positivity of mass fraction at least in the first order numerical methods. Several test cases in both 1D and 2D are presented to demonstrate the robustness and accuracy of the numerical schemes.

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Section: Movers Without Wave Speed Correction -Movers+mentioning

confidence: 99%

Robust and accurate central algorithms for Multi-Component mixture equations with Stiffened gas EOS

Kolluru,

Rao,

Sekhar

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…A similar strategy was introduced by N.Venkata Raghavendra in [69,70] to design an accurate contact-discontinuity capturing discrete velocity Boltzmann scheme for inviscid compressible flows.…”

Section: A Central Solver Based On Grimentioning

confidence: 99%

Novel, simple and robust contact-discontinuity capturing schemes for high speed compressible flows

Kolluru,

Raghavendra,

Rao

et al. 2020

Preprint

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The nonlinear convection terms in the governing equations of compressible fluid flows are hyperbolic in nature and are nontrivial for modelling and numerical simulation. Many numerical methods have been developed in the last few decades for this purpose and are typically based on Riemann solvers, which are strongly dependent on the underlying eigen-structure of the governing equations. Objective of the present work is to develop simple algorithms which are not dependent on the eigen-structure and yet can tackle easily the hyperbolic parts. Central schemes with smart diffusion mechanisms are apt for this purpose. For fixing the numerical diffusion, the basic ideas of satisfying the Rankine-Hugoniot (RH) conditions along with generalized Riemann invariants are proposed. Two such interesting algorithms are presented, which capture grid-aligned steady contact discontinuities exactly and yet have sufficient numerical diffusion to avoid numerical shock instabilities. Both the algorithms presented are robust in avoiding shock instabilities, apart from being accurate in capturing contact discontinuities, do not need wave speed corrections and are independent of eigen-strutures of the underlying hyperbolic parts of the systems.

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A Boltzmann scheme with physically relevant discrete velocities for Euler equations

Cited by 2 publications

References 24 publications

Robust and accurate central algorithms for Multi-Component mixture equations with Stiffened gas EOS

Robust and accurate central algorithms for Multi-Component mixture equations with Stiffened gas EOS

Novel, simple and robust contact-discontinuity capturing schemes for high speed compressible flows

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