Details
| Original language | English |
|---|---|
| Pages (from-to) | 707-713 |
| Number of pages | 7 |
| Journal | ISIJ international |
| Volume | 51 |
| Issue number | 5 |
| Publication status | Published - 13 May 2011 |
Abstract
This paper is the first part of a two-part paper which presents a simulation algorithm of unsteady, electromagnetically driven molten metal flows with free surfaces. At the free boundary, the variable space-distribution of the normal Lorentz forces is taken into account by proper computation of the electromagnetic field and pressure. For each calculation time step, a transport equation of the melt's volume is solved for multicell blocks and subsequently, the free surface is reconstructed by an inward gathering of the melt volume. Therefore, the free surface can be more accurately simulated with the following improvements: (1) Consideration of the normal electromagnetic force densities exerted on the melt surface. (2) Strictly volume conserving displacement of the free surface. (3) Absence of numerically created holes in the melt or of separated fluid droplets, respectively. Comparisons between computational and experimental results to verify the validity of the mathematical model will be presented in the second part of the paper.
Keywords
- Finite difference method, Fluid volume conservation, Free surface simulation, Magneto-fluid dynamics, Pressure calculation in electromagnetic field, Unsteady turbulent flow
ASJC Scopus subject areas
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Materials Science(all)
- Metals and Alloys
- Materials Science(all)
- Materials Chemistry
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In: ISIJ international, Vol. 51, No. 5, 13.05.2011, p. 707-713.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The multicell volume of fluid (MC-VOF) method for the free surface simulation of MFD flows. part I
T2 - Mathematical model
AU - Peşteanu, Ovidiu
AU - Baake, Egbert
PY - 2011/5/13
Y1 - 2011/5/13
N2 - This paper is the first part of a two-part paper which presents a simulation algorithm of unsteady, electromagnetically driven molten metal flows with free surfaces. At the free boundary, the variable space-distribution of the normal Lorentz forces is taken into account by proper computation of the electromagnetic field and pressure. For each calculation time step, a transport equation of the melt's volume is solved for multicell blocks and subsequently, the free surface is reconstructed by an inward gathering of the melt volume. Therefore, the free surface can be more accurately simulated with the following improvements: (1) Consideration of the normal electromagnetic force densities exerted on the melt surface. (2) Strictly volume conserving displacement of the free surface. (3) Absence of numerically created holes in the melt or of separated fluid droplets, respectively. Comparisons between computational and experimental results to verify the validity of the mathematical model will be presented in the second part of the paper.
AB - This paper is the first part of a two-part paper which presents a simulation algorithm of unsteady, electromagnetically driven molten metal flows with free surfaces. At the free boundary, the variable space-distribution of the normal Lorentz forces is taken into account by proper computation of the electromagnetic field and pressure. For each calculation time step, a transport equation of the melt's volume is solved for multicell blocks and subsequently, the free surface is reconstructed by an inward gathering of the melt volume. Therefore, the free surface can be more accurately simulated with the following improvements: (1) Consideration of the normal electromagnetic force densities exerted on the melt surface. (2) Strictly volume conserving displacement of the free surface. (3) Absence of numerically created holes in the melt or of separated fluid droplets, respectively. Comparisons between computational and experimental results to verify the validity of the mathematical model will be presented in the second part of the paper.
KW - Finite difference method
KW - Fluid volume conservation
KW - Free surface simulation
KW - Magneto-fluid dynamics
KW - Pressure calculation in electromagnetic field
KW - Unsteady turbulent flow
UR - http://www.scopus.com/inward/record.url?scp=80054057241&partnerID=8YFLogxK
U2 - 10.2355/isijinternational.51.707
DO - 10.2355/isijinternational.51.707
M3 - Article
AN - SCOPUS:80054057241
VL - 51
SP - 707
EP - 713
JO - ISIJ international
JF - ISIJ international
SN - 0915-1559
IS - 5
ER -