A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure

A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure

In this work we present a pressure-correction scheme for the incompressible Navier–Stokes equations combining a discontinuous Galerkin approximation for the velocity and a standard continuous Galerkin approximation for the pressure. The main interest of pressure-correction algorithms is the reduced computational cost compared to monolithic strategies. In this work we show how a proper discretiz...

A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries.

Two-phase outflows refer to situations where the interface formed between two immiscible incompressible fluids passes through open portions of the domain boundary. We present several new forms of open boundary conditions for two-phase outflow simulations within the phase field framework, as well as a rotational pressure correction based algorithm for numerically treating these open boundary con...

An unconditionally stable rotational velocity-correction scheme for incompressible flows

We present an unconditionally stable splitting scheme for incompressible Navier-Stokes equations based on the rotational velocity-correction formulation. The main advantages of the scheme are: (i) it allows the use of time step sizes considerably larger than the widely-used semi-implicit type schemes: the time step size is only constrained by accuracy; (ii) it does not require the velocity and ...

A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows

Article history: Received 22 September 2014 Received in revised form 28 January 2015 Accepted 8 March 2015 Available online 16 March 2015

Velocity-Correction Projection Methods For Incompressible Flows