A Coupled Volume-of-Fluid/ Level Set Method in OpenFOAM

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Reconstruction of φ from α Solving the inverse problem definition of the volumetric phase fraction as function of the Level-Set variable 1 dxdydz Z zk+1/2 Z yj+1/2 Z xi+1/2 z k−1/2 y j−1/2 x i−1/2 H ` ` ´ ´ ai,j,k (x − xi ) + bi,j,k y − yj + ci,j,k (z − zk ) + di,j,k dxdydz = αi,j,k if mass-conservation is not fulfilled after advection of φ und α: adaption of the parameter di,j,k d New i,j,k = d 1 dxdydz i,j,k − R z k+1/2 z k−1/2 R z k+1/2 z k−1/2 re-evaluation of φ R y j+1/2 R x i+1/2 y j−1/2 x H i−1/2 ` ` ´ ´ ai,j,k (x − xi ) + bi,j,k y − yj + ci,j,k (z − zk ) + di,j,k dxdydz R y j+1/2 y j−1/2 + R x i+1/2 x i−1/2 H ` a i,j,k (x − x i ) + b i,j,k ` ´ ´ y − yj + ci,j,k (z − zk ) + di,j,k dxdy CLSVOF in OpenFOAM 19.11.2010 14 / 19
CLSVOF-Class Heaviside-function calculation of the plane-coefficients transformation of the coordinate-system geometrical calculation of the cutting-points calculation of the phase-fractions and the distribution of the Level-Set function solution of the transport equations for φ and α reconstruction of the Level-Set field as a signed distance function CLSVOF in OpenFOAM 19.11.2010 15 / 19
Page 1 and 2: A Coupled Volume-of-Fluid/ Level Se
Page 3 and 4: Motivation Representation of sharp
Page 5 and 6: Volume-of-Fluid in OpenFOAM R○ Vo
Page 7 and 8: Volume-of-Fluid and Level-Set volum
Page 9 and 10: Reconstruction of the Interface 1 i
Page 11 and 12: Reconstruction of the interface 1 c
Page 13: Reconstruction of the interface Com
Page 17 and 18: Results Results adaptive mesh refin
Page 19: Summary and Outlook Summary Summary

A Coupled Volume-of-Fluid/ Level Set Method in OpenFOAM

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