Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Comparison of finite-volume numerical methods with staggered and colocated grids
Computers and Fluids
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Two-phase electrohydrodynamic simulations using a volume-of-fluid approach
Journal of Computational Physics
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids
Journal of Computational Physics
Development of nonlinear weighted compact schemes with increasingly higher order accuracy
Journal of Computational Physics
A coupled finite volume solver for the solution of incompressible flows on unstructured grids
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
Numerical methods for imposing body forces in two-phase flow simulations are discussed. Numerical schemes are presented to avoid the inaccurate solutions that result from inconsistent implementation of forces. First, the momentum equations are discretized so that they accurately accommodate the discontinuity in fluid properties at an interface. Consistent numerical estimations for different body forces such as interfacial (including Marangoni), gravity and electromagnetic forces are discussed. Then, it is shown that the standard pressure-velocity coupling scheme for collocated algorithms is not sufficient for multiphase flows, and therefore a new pressure-velocity coupling is devised and tested for both single and two-phase flows. Finally, to advect the level set function, a cost effective fifth-order WENO method is developed. These formulations are accurate and efficient both for uniform and non-uniform meshes. Several test cases are presented and compared with a standard implementation of body forces to demonstrate the efficiency of the proposed algorithm.