A conservative pressure-correction method for the Euler and ideal MHD equations at all speeds

2002 ◽  
Vol 40 (3-4) ◽  
pp. 521-529 ◽  
Author(s):  
D. R. van der Heul ◽  
C. Vuik ◽  
P. Wesseling
Keyword(s):  
Correction Method ◽  
Mhd Equations ◽  
Pressure Correction ◽  
Ideal Mhd ◽  
All Speeds

A conservative pressure-correction method for flow at all speeds

2003 ◽  
Vol 32 (8) ◽  
pp. 1113-1132 ◽  
Author(s):  
D.R. van der Heul ◽  
C. Vuik ◽  
P. Wesseling
Keyword(s):  
Correction Method ◽  
Pressure Correction ◽  
All Speeds

On the 3D ideal MHD equations with partial damping

2021 ◽  
pp. 107017
Author(s):  
Xuanji Jia
Keyword(s):  
Mhd Equations ◽  
Ideal Mhd

Partially Invariant Solutions for Two-dimensional Ideal MHD Equations

1990 ◽  
Vol 45 (11-12) ◽  
pp. 1219-1229 ◽  
Author(s):  
D.-A. Becker ◽  
E. W. Richter
Keyword(s):  
Differential Equations ◽  
Linear Equations ◽  
Mhd Equations ◽  
Two Dimensional ◽  
Invariant Solutions ◽  
First Order ◽  
Partially Invariant Solutions ◽  
Quasilinear Systems ◽  
Ideal Mhd ◽  
Non Linear Equations

AbstractA generalization of the usual method of similarity analysis of differential equations, the method of partially invariant solutions, was introduced by Ovsiannikov. The degree of non-invariance of these solutions is characterized by the defect of invariance d. We develop an algorithm leading to partially invariant solutions of quasilinear systems of first-order partial differential equations. We apply the algorithm to the non-linear equations of the two-dimensional non-stationary ideal MHD with a magnetic field perpendicular to the plane of motion.

Generalized symmetries for the ideal MHD equations

1993 ◽  
Vol 63 (1-2) ◽  
pp. 87-98 ◽  
Author(s):  
F. Galas
Keyword(s):  
Mhd Equations ◽  
Generalized Symmetries ◽  
Ideal Mhd ◽  
The Ideal

scholarly journals Minimum quadratic helicity states

2018 ◽  
Vol 84 (6) ◽  
Author(s):  
P. M. Akhmet’ev ◽  
S. Candelaresi ◽  
A. Y. Smirnov
Keyword(s):  
Mhd Equations ◽  
Ideal Mhd

Building on previous results on the quadratic helicity in magnetohydrodynamics (MHD) we investigate particular minimum helicity states. These are eigenfunctions of the curl operator and are shown to constitute solutions of the quasi-stationary incompressible ideal MHD equations. We then show that these states have indeed minimum quadratic helicity.

Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization

2021 ◽  
Vol 160 ◽  
pp. 451-465
Author(s):  
Wei Li ◽  
Jilin Fang ◽  
Yi Qin ◽  
Pengzhan Huang
Keyword(s):  
Correction Method ◽  
Pressure Correction ◽  
Darcy Model ◽  
Model Based

Numerical Investigations of Centrifugal Compressor Flows With Tip Leakage Using a Pressure Correction Method

1993 ◽  
Author(s):  
A. Tourlidakis ◽  
R. L. Elder
Keyword(s):  
Flow Pattern ◽  
High Speed ◽  
Stokes Equations ◽  
Correction Method ◽  
Secondary Flows ◽  
Tip Clearance ◽  
Physical Models ◽  
Wake Flow ◽  
Operating Characteristics ◽  
Pressure Correction

In this paper, a three-dimensional computational model for the solution of the time-averaged Navier-Stokes equations, based on a pressure correction method and the k-ε turbulence model, is presented and implemented for the viscous flow modelling through a series of centrifugal compressors. Theoretical calculations with the current fully elliptic method are carried out and the results are compared critically with available experimental data and with results from other computational models. A radial and two backswept high-speed subsonic compressors with different geometrical and operating characteristics are analysed at design and off-design conditions. In all cases, a wake flow pattern is evident and strong secondary flows are discerned. The tip clearance effects on the relative flow pattern are found to be important and are appropriately simulated. The predictive capability of the current flow model is judged to be encouraging taking into consideration the limitations of the physical models and the numerical schemes involved in the computations.

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