An adaptive least-squares method for the compressible Euler equations

Taghaddosi, Farzad; Habashi, Wagdi G.; Guevremont, G.; Ait‐Ali‐Yahia, D.

doi:10.1002/(sici)1097-0363(19991215)31:7<1121::aid-fld913>3.0.co;2-r

Cited by 17 publications

(3 citation statements)

References 27 publications

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“…The reflected shock exits the domain from the top right corner which means that the shock reflection angle is captured very well, as shown in Figure 7. Figure 8 shows the pressure distribution for the current work against the work of Taghaddosi et al [30] Note that the results of Taghaddosi et al [30] are for inviscid flow. As shown in Figure 8, the pressure increases after passing the incident shock then increases again after the reflected shock.…”

Section: Viscous Shock Reflection (Vsr)mentioning

confidence: 79%

Hyperbolic model for the classical Navier‐Stokes equations

Abohadima

Guaily

2016

Can J Chem Eng

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A new formulation of the classical Navier-Stokes equations is presented, which overcomes the equations' main disadvantage: being a mixed parabolic-hyperbolic system. The new model is achieved by adopting the compressible codeformational time derivative in the stress-strain constitutive relation, resulting in a consistency with the principle of material frame indifference. The main advantage of the new formulation is that the resulting system of equations is purely hyperbolic. The proposed formulation is used to model the benchmark problem of the shock/boundary layer/expansion fan interaction with an apparent degree of success.

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Section: Viscous Shock Reflection (Vsr)mentioning

confidence: 79%

Hyperbolic model for the classical Navier‐Stokes equations

Abohadima

Guaily

2016

Can J Chem Eng

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“…The non-conservative formulation of the Euler Equations were studied by Taghaddosi et al (1999) together with a grid adaptation method, where it was implemented a moving node strategy to obtain elements aligned with the shock. The slip boundary was implemented adding the boundary condition in the LSFEM functional.…”

Section: Lsfem Applied To the Euler Equationsmentioning

confidence: 99%

“…5.1. Taghaddosi et al (1999) and Pontaza et al (2004) also implemented the LSFEM applied to inviscid Euler Equations and simulated this problem.…”

Section: Shock Reflectionmentioning

confidence: 99%

Otimização topológica aplicada a fluidos compressíveis invíscidos supersônicos.

Yamabe

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Least‐squares spectral element method applied to the Euler equations

Gerritsma

Bas

Maerschalck

et al. 2008

Numerical Methods in Fluids

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SUMMARYThis paper describes the application of the least-squares spectral element method to compressible flow problems. Special attention is paid to the imposition of the weak boundary conditions along curved walls and the influence of the time step on the position and resolution of shocks. The method is described and results are presented for a supersonic flow over a wedge and subsonic, transonic and supersonic flow problems over a bump.

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An adaptive least-squares method for the compressible Euler equations

Cited by 17 publications

References 27 publications

Hyperbolic model for the classical Navier‐Stokes equations

Hyperbolic model for the classical Navier‐Stokes equations

Otimização topológica aplicada a fluidos compressíveis invíscidos supersônicos.

Least‐squares spectral element method applied to the Euler equations

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