Numerical investigation of a mixture two-phase flow model in two-dimensional space

Zeidan, Dia; Bähr, P.; Farber, Peter; Gräbel, J.; Ueberholz, P.

doi:10.1016/j.compfluid.2018.12.013

Cited by 63 publications

(22 citation statements)

References 33 publications

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“…The convective flux was discretized with AUSM+-up scheme [Liou, 2006] because this scheme has been proven to work well for hypersonic gas dynamics [Kitamura, 2016, Kitamura andShima, 2013]. It is worth to mention that while other alternative and interesting schemes and solvers exist (e.g., [Zeidan et al, 2019;Goncalvès and Zeidan, 2017;Zeidan and Touma, 2014;Zeidan et al, 2007]), those are not feasible to implement due to the proprietary nature of the ANSYS code, and as such have not been tested for this specific application. Due to its robustness, we have preferred the implicit formulation rather than the explicit one.…”

Section: Methodsmentioning

confidence: 99%

Production of nitric oxide by a fragmenting bolide: An exploratory numerical study

Niculescu

Silber

2020

Math Methods in App Sciences

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A meteoroid's hypersonic passage through the Earth's atmosphere results in ablational and fragmentational mass loss. Potential shock waves associated with a parent object as well as its fragments can modify the surrounding atmosphere and produce a range of physico-chemical effects. Some of the thermally driven chemical and physical processes induced by meteoroidfragment generated shock waves, such as nitric oxide (NO) production, are less understood. Any estimates of meteoric NO production depend not only on a quantifiable meteoroid population and a rate of fragmentation, with a size capable of producing high temperature flows, but also on understanding the physical properties of the meteor flows along with their thermal history. We performed an exploratory pilot numerical study using ANSYS Fluent, the CFD code, to investigate the production of NO in the upper atmosphere by small meteoroids (or fragments of meteoroids after they undergo a disruption episode) in the size range from 10 -2 m to 1 m. Our model uses the simulation of a spherical body in the continuum flow at 70 and 80 km altitude to approximate the behaviour of a small meteoroid capable of producing NO. The results presented in this exploratory study are in good agreement with previous studies.

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Section: Methodsmentioning

confidence: 99%

Production of nitric oxide by a fragmenting bolide: An exploratory numerical study

Niculescu

Silber

2020

Math Methods in App Sciences

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“…The research on integral transforms involving special functions (see, e.g., [1-4, 6, 8-12, 19]) has received a considerable attention of the research community primarily because their application has made prominent contributions in several domains of mathematics, engineering and their applications in mathematical physics (see, e.g., [7,15,21,22,[27][28][29][30]). Among these special functions of mathematical physics, the Wright, the Bessel, and similar functions are of central importance and are fairly useful in the theory of integral and fractional calculus.…”

Section: Introductionmentioning

confidence: 99%

Computation of certain integral formulas involving generalized Wright function

et al. 2020

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The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as well. Based on the main results, some integral formulas involving different special functions connected with the generalized Wright function are explicitly established as special cases for different values of the parameters. Moreover, a Gaussian quadrature formula has been used to compute the integrals and compare with the main results by using graphical representations.

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“…ere are also some numerical methods, which are powerful treatments in solving nonlinear equations. Such as numerical methods of two-phase flow equations are proposed and developed by Zeidan et al [30][31][32][33][34], which provide perfect approaches for the study of wave structure and our future studies. In this paper, we construct a solution of (2) with Riemann initial data:…”

Section: Introductionmentioning

confidence: 99%

The Existence of Zero Waves for Nonsimplified Chromatography System

Lin

Guo

Bai

2020

Mathematical Problems in Engineering

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In this paper, we mainly consider Riemann problem for the widely used nonsimplified chromatography system with initial data consisting of three pieces of constant states. Through phase plane analysis, the solutions of the nonsimplified chromatography system are established. When the different initial data tend to −1 from the right side, the existence of zero shock wave, zero delta shock wave, and zero rarefaction wave is obtained via analyzing its wave interaction. Finally, the correctness of the main conclusions is verified by numerical simulation, and the numerical results are in good agreement with the theoretical solutions of several experimental cases.

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Numerical investigation of a mixture two-phase flow model in two-dimensional space

Cited by 63 publications

References 33 publications

Production of nitric oxide by a fragmenting bolide: An exploratory numerical study

Production of nitric oxide by a fragmenting bolide: An exploratory numerical study

Computation of certain integral formulas involving generalized Wright function

The Existence of Zero Waves for Nonsimplified Chromatography System

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