scholarly journals Numerical Regularized Moment Method For High Mach Number Flow

2012 ◽  
Vol 11 (5) ◽  
pp. 1415-1438 ◽  
Author(s):  
Zhenning Cai ◽  
Ruo Li ◽  
Yanli Wang
Keyword(s):  
Shock Wave ◽  
Mach Number ◽  
Moment Method ◽  
Arbitrary Order ◽  
High Order ◽  
Numerical Implementation ◽  
Moment System ◽  
Number Flow ◽  
High Mach ◽  
The Moment

AbstractThis paper is a continuation of our earlier work [SIAM J. Sci. Comput., 32(2010), pp. 2875-2907] in which a numerical moment method with arbitrary order of moments was presented. However, the computation may break down during the calculation of the structure of a shock wave with Mach number M0≥ 3. In this paper, we concentrate on the regularization of the moment systems. First, we apply the Maxwell iteration to the infinite moment system and determine the magnitude of each moment with respect to the Knudsen number. After that, we obtain the approximation of high order moments and close the moment systems by dropping some high-order terms. Linearization is then performed to obtain a very simple regularization term, thus it is very convenient for numerical implementation. To validate the new regularization, the shock structures of low order systems are computed with different shock Mach numbers.

STAGNATION REGION IN RAREFIED, HIGH MACH NUMBER FLOW

AIAA Journal ◽  
1963 ◽  
Vol 1 (1) ◽  
pp. 231-233 ◽  
Author(s):  
H. K. CHENG ◽  
A. L. CHANG
Keyword(s):  
Mach Number ◽  
Stagnation Region ◽  
High Mach Number ◽  
Number Flow ◽  
High Mach

scholarly journals A high-order spectral deferred correction strategy for low Mach number flow with complex chemistry

2016 ◽  
Vol 20 (3) ◽  
pp. 521-547 ◽  
Author(s):  
Will E. Pazner ◽  
Andrew Nonaka ◽  
John B. Bell ◽  
Marcus S. Day ◽  
Michael L. Minion
Keyword(s):  
Mach Number ◽  
High Order ◽  
Low Mach Number ◽  
Deferred Correction ◽  
Number Flow ◽  
Complex Chemistry ◽  
Spectral Deferred Correction ◽  
Low Mach Number Flow

scholarly journals High order semi-implicit weighted compact nonlinear scheme for the all-Mach isentropic Euler system

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Yanqun Jiang ◽  
Xun Chen ◽  
Xu Zhang ◽  
Tao Xiong ◽  
Shuguang Zhou
Keyword(s):  
Mach Number ◽  
Gas Dynamics ◽  
Compressible Flows ◽  
Time Discretization ◽  
Euler System ◽  
High Order ◽  
Shock Capturing ◽  
Third Order ◽  
High Mach ◽  
Fifth Order

AbstractThe computation of compressible flows at all Mach numbers is a very challenging problem. An efficient numerical method for solving this problem needs to have shock-capturing capability in the high Mach number regime, while it can deal with stiffness and accuracy in the low Mach number regime. This paper designs a high order semi-implicit weighted compact nonlinear scheme (WCNS) for the all-Mach isentropic Euler system of compressible gas dynamics. To avoid severe Courant-Friedrichs-Levy (CFL) restrictions for low Mach flows, the nonlinear fluxes in the Euler equations are split into stiff and non-stiff components. A third-order implicit-explicit (IMEX) method is used for the time discretization of the split components and a fifth-order WCNS is used for the spatial discretization of flux derivatives. The high order IMEX method is asymptotic preserving and asymptotically accurate in the zero Mach number limit. One- and two-dimensional numerical examples in both compressible and incompressible regimes are given to demonstrate the advantages of the designed IMEX WCNS.

scholarly journals Line profile variations in γ Equ: A puzzle

2004 ◽  
Vol 193 ◽  
pp. 287-291 ◽  
Author(s):  
Hiromoto Shibahashi ◽  
Don Kurtz ◽  
Eiji Kambe ◽  
Douglas Gough
Keyword(s):  
Shock Wave ◽  
Line Profile ◽  
Moment Method ◽  
Oscillation Mode ◽  
Alternative Interpretation ◽  
Polar Regions ◽  
Line Shapes ◽  
Photometric Observations ◽  
Rotating Star ◽  
The Moment

AbstractLine profile variations in γ Equ show the classic blue-to-red travelling bumps of m-modes resolved by rotation, and they have been identified as l = 2 or 3, m = −l or −l + 1 by characterising the line shapes using the moment method. The mode identifications cannot be correct, however, since γ Equ is an extremely slowly rotating star (Prot > 70 yr). We propose an alternative interpretation, according to which the observed line profile variations are a manifestation of a shock wave in the high atmosphere near the magnetic polar regions; the oscillation mode is then still consistent with the photometric observations.

High mach number flow of a rarefied gas past an almost specularly reflecting plate

1986 ◽  
Vol 15 (6-7) ◽  
pp. 973-984
Author(s):  
C. Cercignani ◽  
A. Frezzotti ◽  
M. Lampis
Keyword(s):  
Mach Number ◽  
Rarefied Gas ◽  
High Mach Number ◽  
Number Flow ◽  
High Mach
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