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Numerical modelling of electromagnetic casting processes. (English) Zbl 0721.65076

Electromagnetic casting leads to a mathematical model that consists from electromagnetics coupled with hydrodynamics with one free boundary. This model can be solved by the following proposed algorithm: (1) give an initial meniscus shape, (2) solve Maxwell’s equations and compute Lorentz forces, (3) solve Navier-Stokes equations and compute normal tractions on the meniscus, (4) update the meniscus, (5) if the meniscus shape is “sufficiently close” to the previous one, then stop; otherwise, go to 2.
Reviewer: I.Grosu (Iaşi)

MSC:

65Z05 Applications to the sciences
35Q30 Navier-Stokes equations
35Q60 PDEs in connection with optics and electromagnetic theory
80A20 Heat and mass transfer, heat flow (MSC2010)
78A55 Technical applications of optics and electromagnetic theory
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