Sharp Collocated Projection Method for Immiscible Two-Phase Flows
By: Adam L. Binswanger , Matthew Blomquist , Scott R. West and more
Potential Business Impact:
Simulates liquids mixing and separating accurately.
We present a sharp collocated projection method for solving the immiscible, two-phase Navier-Stokes equations in two- and three-dimensions. Our method is built using non-graded adaptive quadtree and octree grids, where all of the fluid variables are defined on the nodes, and we leverage this framework to design novel spatial and temporal discretizations for the two-phase problem. The benefits of the nodal collocation framework are best exemplified through our novel discretizations, which employ a hybrid finite difference-finite volume methodology to treat the boundary and interfacial jump conditions in an entirely sharp manner. We demonstrate the capabilities of our novel approach using a variety of canonical two- and three-dimensional examples and outline how our framework can be extended to address more complicated physics. The overall algorithm achieves high accuracy with simplified data structures, making this solver ideal for scientific and engineering applications.
Similar Papers
A sharp-interface discontinuous Galerkin method for simulation of two-phase flow of real gases based on implicit shock tracking
Fluid Dynamics
Simulates explosions and gas flow very accurately.
A numerical method based on quasi-Lagrangian Voronoi cells for two-phase flows with large density contrast
Numerical Analysis
Simulates water and air mixing perfectly.
Fully discrete finite element approximation for the projection method to solve the Chemotaxis-Fluid System
Numerical Analysis
Simulates how tiny things move in liquids.