Two Approaches for Simulating the Burning Surface in Gas Dynamics

Leonid Minkov; Ernst R. Shrager; Aleksander E. Kiryushkin

doi:10.4028/www.scientific.net/KEM.685.114

Paper Titles

Numerical Study of Combustion Regimes and Heat Radiation of Cylindrical Porous Burner
p.94

Optimal Control Problem of Complex Heat Transfer for SP₁ Approximation
p.99

Numerical Simulation of Melting of Phase Change Material in a Square Cavity with a Heat Source
p.104

The Features of Parallel Program for 3-D Modeling of Dynamic Processes in Porous Objects with Heat-Evolution
p.109

Two Approaches for Simulating the Burning Surface in Gas Dynamics
p.114

Phenomenological Modeling of Rheological Properties of Polyetheretherketones Reinforced with High Modulus Carbon in the Machining Process by a Reversible Analysis Method
p.119

Decay of Low-Barrier Metastable State: Middle Friction
p.124

Corrections to Kramers Formula Describing the Decay Rate of a Metastable State
p.128

Bending Process Simulation of a Flat Workpiece with Various Cross-Sectional Mechanical Properties with PAM-STAMP 2G
p.133

HomeKey Engineering MaterialsKey Engineering Materials Vol. 685Two Approaches for Simulating the Burning Surface...

Two Approaches for Simulating the Burning Surface in Gas Dynamics

Abstract:

Two approaches for simulating the burning surface in gas dynamics by means boundary conditions and right sides in the equations involving Dirac delta function are discussed. A comparison of numerical steady-state solutions and the exact ones in one-dimensional approximation is performed for two approaches. It is shown that the numerical solutions obtained with the finite-difference scheme of first order accuracy on the base of two considered approaches converge to each other when the mesh refinement is applied. The numerical solution for the steady state problem coincides with the analytical one, if the pressure at the boundary cell face is set equal to the pressure in the center of the boundary cell.

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High Technology: Research and Applications 2015

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Periodical:

Key Engineering Materials (Volume 685)

Pages:

114-118

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.685.114

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Online since:

February 2016

Authors:

Leonid Minkov, Ernst R. Shrager, Aleksander E. Kiryushkin*

Keywords:

Burning Surface, Dirac Delta-Function, Gas-Dynamics, Numerical Modeling

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References

[1] B.A. Raizberg, B.T. Erokhin, K.P. Samsonov, Osnovy teorii rabochikh protzessov v raketnykh sistemakh na tverdom toplive, Mashinostroenie, Moscow, 1972. (in Russian).

Google Scholar

[2] B.T. Erokhin, A.M. Lipanov, Nestatzionarnye I kvazistatzionarnye rezshimy raboty RDTT, Mashinostroenie, Moscow, 1977. (in Russian).

Google Scholar

[3] A.D. Rychkov, Matematicheskoe modelirovanie gazodinamicheskikh protzessov v kanalakh i soplakh, Nauka, Novosibirsk, 1988. (in Russian).

Google Scholar

[4] S.K. Godunov, Chislennoe reshenie mnogomernykh zadach gazovoy dinamiki, Nauka, Moscow, 1976. (in Russian).

Google Scholar

[5] B.T. Erokhin, Teoriya vnutrikamernykh protzessov I proektirovanie RDTT: Uchebnik dlya vysshikh uchebnykh zavedeniy, Mashinostroenie, Moscow, 1991. (in Russian).

Google Scholar

[6] A.G. Butkovskiy, Kharakteristiki system s raspredelyonnymi parametrami, Nauka, Moscow, 1979. (in Russian).

Google Scholar

[7] B. Van Leer, Flux-Vector Splitting for the Euler Equations, Lecture Notes in Physics, 170 (1982) 507-512.

DOI: 10.1007/3-540-11948-5_66

Google Scholar