Horizontal Moldless Electromagnetic Continuous Casting: A Normal Mode Stability Analysis

1988 ◽  
pp. 490-501
Keyword(s):  
Stability Analysis ◽  
Continuous Casting ◽  
Normal Mode ◽  
Mode Stability ◽  
Electromagnetic Continuous Casting

A Normal Mode Stability Analysis of Numerical Interface Conditions for Fluid/Structure Interaction

2011 ◽  
Vol 10 (2) ◽  
pp. 279-304 ◽  
Author(s):  
J. W. Banks ◽  
B. Sjögreen
Keyword(s):  
Stability Analysis ◽  
Normal Mode ◽  
Compressible Fluid ◽  
Elastic Solid ◽  
Interface Condition ◽  
Finite Difference Schemes ◽  
Interface Conditions ◽  
Characteristic Boundary ◽  
Mode Stability ◽  
The Stability

AbstractIn multi physics computations where a compressible fluid is coupled with a linearly elastic solid, it is standard to enforce continuity of the normal velocities and of the normal stresses at the interface between the fluid and the solid. In a numerical scheme, there are many ways that velocity- and stress-continuity can be enforced in the discrete approximation. This paper performs a normal mode stability analysis of the linearized problem to investigate the stability of different numerical interface conditions for a model problem approximated by upwind type finite difference schemes. The analysis shows that depending on the ratio of densities between the solid and the fluid, some numerical interface conditions are stable up to the maximal CFL-limit, while other numerical interface conditions suffer from a severe reduction of the stable CFL-limit. The paper also presents a new interface condition, obtained as a simplified characteristic boundary condition, that is proved to not suffer from any reduction of the stable CFL-limit. Numerical experiments in one space dimension show that the new interface condition is stable also for computations with the non-linear Euler equations of compressible fluid flow coupled with a linearly elastic solid.

Experimental study on surface quality of silicon ingots prepared by electromagnetic continuous casting

2012 ◽  
Vol 15 (4) ◽  
pp. 340-346 ◽  
Author(s):  
Feng Huang ◽  
Ruirun Chen ◽  
Jingjie Guo ◽  
Hongsheng Ding ◽  
Yanqing Su ◽  
...  
Keyword(s):  
Experimental Study ◽  
Continuous Casting ◽  
Surface Quality ◽  
Electromagnetic Continuous Casting

MHD Stability for a Class of Tokamak Equilibria with Fixed Boundaries

1978 ◽  
Vol 33 (7) ◽  
pp. 792-798
Author(s):  
W. Kerner
Keyword(s):  
Stability Analysis ◽  
Normal Mode ◽  
Cross Sections ◽  
Stability Limit ◽  
Stability Behavior ◽  
Mhd Stability ◽  
The Stability ◽  
High Beta ◽  
Fixed Boundaries ◽  
Flat Current

The stability behavior with respect to internal modes is discussed for a class of tokamak equilibria with non-circular cross-sections and essentially flat current profiles. The stability analysis is done by computer both symbolically and numerically with the help of a normal mode code, which extremizes the Lagrangian of the system . It is found that the stability limit agrees well with that of the Mercier criterion. There are stable high-beta equilibria in this model.

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