Adaptive Moment-of-Fluid Method LA-UR-08-2153

A novel adaptive mesh refinement (AMR) strategy based on momentof-fluid (MOF) method for volume-tracking evolving interface computation is presented. Moment-of-fluid method is a new interface reconstruction and volume advection method using volume fraction as well as material centroid. The mesh refinement criterion is based on the deviation of the actual centroid obtained by interface reconstruction from the reference centroid given by moment advection process. The centroid error indicator detects not only high curvature regions but also regions with complicated subcell structures like filaments. A new Lagrange+remap moment advection scheme, which includes Lagrangian backtracking, polygon intersection based remapping and forward tracking to define material centroid is is presented. The effectiveness and efficiency of AMR-MOF method is demonstrated with classical test problems, such as Zalesak’s disk and reversible vortex problem. The comparison with previously published results for these problems shows the superior accuracy of the AMR-MOF method over other methods. In addition, two new test cases with severe deformation rates are introduced, namely droplet deformation and S-shape deformation problems, for further demonstrating the capabilities of the AMR-MOF method. ∗Corresponding author: School of Naval Architecture & Ocean Engineering, University of Ulsan, Ulsan 680-749, Korea. Tel: +82-52-259-2164, Fax: +82-52-259-2677; E-mail: [email protected] †Theoretical Division, Group T-7 Los Alamos National Laboratory, Los Alamos, NM 87545, USA; E-mail: [email protected]