A low diffusive Lagrange-remap scheme for the simulation of violent air–water free-surface flows

A low diffusive Lagrange-remap scheme for the simulation of violent air-water free-surface flows

In 2002, Després and Lagoutière [Després and Lagoutière (2002)] proposed a low-diffusive advection scheme for pure transport equation problems, which is particularly accurate for step-shaped solutions, and thus suited for interface tracking procedure by a color function. This has been extended by Kokh and Lagoutière [Kokh and Lagoutière (2010)] in the context of compressible multifluid flows us...

An Anti-diffusive Lagrange-remap Scheme for Multi-material Compressible Flows with an Arbitrary Number of Components

We propose a method dedicated to the simulation of interface flows involving an arbitrary number m of compressible components. Our task is two-fold: we first introduce a m-component flow model that generalizes the two-material five-equation model of [2,3]. Then, we present a discretization strategy by means of a Lagrange-Remap [8,10] approach following the lines of [5,7,12]. The projection step...

On the Simulation of Flows with Violent Free Surface Motion

A Conservative CIP Method for Violent Free Surface Flows

In the past several years, continuous effort has been made in RIAM, Kyushu University to develop an efficient Cartesian grid method for violent free surface problems in ship and ocean engineering. Our researches have been focused on (1) Accurate and robust flow solver for multi-phase flows with solid bodies. (2) Conservative and smearingless interface capturing scheme. In the numerical method, ...

Numerical Simulation of Free Surface Flows and Comparison of Symmetry and Real Boundary Conditions at the Free Surface

For implementation&#10 of the free surface boundary condition, a new subroutine has been introduced to an existing steady 3-D body fitted code. This code was previously written for steady flow simulation in closed ducts. The algorithm used in this subroutine reduces the instability problem according to the free surface wave generation. For code validation, it was applied to two different open c...