Non-equilibrium effects of diatomic and polyatomic gases on the shock-vortex interaction based on the second-order constitutive model of the Boltzmann-Curtiss equation

2018 ◽  
Vol 30 (1) ◽  
pp. 016109 ◽  
Author(s):  
S. Singh ◽  
A. Karchani ◽  
R. S. Myong
Keyword(s):  
Constitutive Model ◽  
Second Order ◽  
Vortex Interaction ◽  
Polyatomic Gases ◽  
Non Equilibrium

A Second-Order Cell-Centered Lagrangian Method for Two-Dimensional Elastic-Plastic Flows

2017 ◽  
Vol 22 (5) ◽  
pp. 1224-1257 ◽  
Author(s):  
Jun-Bo Cheng ◽  
Yueling Jia ◽  
Song Jiang ◽  
Eleuterio F. Toro ◽  
Ming Yu
Keyword(s):  
Constitutive Model ◽  
Riemann Problem ◽  
Wave Structure ◽  
Solution Procedure ◽  
Second Order ◽  
Rarefaction Waves ◽  
Elastic Plastic ◽  
Yielding Condition ◽  
Nested Iterations ◽  
Von Mises

AbstractFor 2D elastic-plastic flows with the hypo-elastic constitutive model and von Mises’ yielding condition, the non-conservative character of the hypo-elastic constitutive model and the von Mises’ yielding condition make the construction of the solution to the Riemann problem a challenging task. In this paper, we first analyze the wave structure of the Riemann problem and develop accordingly aFour-Rarefaction wave approximateRiemannSolver withElastic waves (FRRSE). In the construction of FRRSE one needs to use an iterative method. A direct iteration procedure for four variables is complex and computationally expensive. In order to simplify the solution procedure we develop an iteration based on two nested iterations upon two variables, and our iteration method is simple in implementation and efficient. Based on FRRSE as a building block, we propose a 2nd-order cell-centered Lagrangian numerical scheme. Numerical results with smooth solutions show that the scheme is of second-order accuracy. Moreover, a number of numerical experiments with shock and rarefaction waves demonstrate the scheme is essentially non-oscillatory and appears to be convergent. For shock waves the present scheme has comparable accuracy to that of the scheme developed by Maire et al., while it is more accurate in resolving rarefaction waves.

scholarly journals Stability of algebraic non-equilibrium second-order closure models

2001 ◽  
Vol 3 (1-2) ◽  
pp. 33-50 ◽  
Author(s):  
Hans Burchard ◽  
Eric Deleersnijder
Keyword(s):  
Second Order ◽  
Closure Models ◽  
Non Equilibrium

Semiconductor models for first and second order non-equilibrium phase transitions

1979 ◽  
Vol 365 (1723) ◽  
pp. 495-510 ◽  
Keyword(s):  
Phase Transitions ◽  
General Principle ◽  
Impact Ionization ◽  
Equilibrium Phase ◽  
Steady States ◽  
Second Order ◽  
Far From Equilibrium ◽  
P Type ◽  
Non Equilibrium

Non-equilibrium phase transitions in semiconductors due to impact ionization from traps have been obtained theoretically, and are discussed in detail. They include first and second order phase transitions, and develop previous work, which was restricted to second order phase transitions involving band-band processes. The models include switching transitions from non-conducting to conducting states, and from n- to p-type states. They furnish simple illustrations of the general principle that a system which is driven far from equilibrium can exhibit new stable steady states.

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