Transient adaptivity applied to two-phase incompressible flows

Three-dimensional characteristic approach for incompressible thermo-flows and influence of artificial compressibility parameter

In this paper the characteristics of unsteady three-dimensional incompressible flows with heat transfer are obtained along with artificial compressibility of Chorin. At first, compatibility equations and pseudo characteristics for three-dimensional flows are derived from five governing equations (continuity equation, Momentum equations in three directions, and energy equation) and then results ...

A coupled level-set and volume-of-fluid method for simulating axi-symmetric incompressible two-phase flows

A preconditioned solver for sharp resolution of multiphase flows at all Mach numbers

A preconditioned five-equation two-phase model coupled with an interface sharpening technique is introduced for simulation of a wide range of multiphase flows with both high and low Mach regimes. Harten-Lax-van Leer-Contact (HLLC) Riemann solver is implemented for solving the discretized equations while tangent of hyperbola for interface capturing (THINC) interface sharpening method is applied ...

Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows

We construct in this paper two classes, based on stabilization and convex splitting, of decoupled, unconditionally energy stable schemes for Cahn-Hilliard phase-field models of two-phase incompressible flows. At each time step, these schemes require solving only a sequence of elliptic equations, including a pressure Poisson equation. Furthermore, all these elliptic equations are linear for the ...

Energy Stable Schemes for Cahn-Hilliard Phase-Field Model of Two-Phase Incompressible Flows∗∗∗

Numerical approximations of Cahn-Hilliard phase-field model for the two-phase incompressible flows are considered in this paper. Several efficient and energy stable time discretization schemes for the coupled nonlinear Cahn-Hilliard phase-field system for both the matched density case and the variable density case are constructed, and are shown to satisfy discrete energy laws which are analogou...