As a method to solve flow problems on complicated domains, an immersed boundary (IB) method equipped with the discrete forcing based on the fluid-structure interaction (FSI) is proposed in which the virtual interpolation points are introduced. The discrete force to the background fluid due to the no-slip condition on the surface of a fixed rigid boundary is the instantaneous amount of momentum ...

This work presents an OpenFOAM implementation of the PN approximation for radiative heat transfer, including higher orders P3, P5, and P7. Also described is a procedure which enables the sequential numerical computations of the coupled partial differential equations (PDEs) by re-expressing the boundary conditions in matrix form so that individual boundary conditions can be associated with each ...

Purpose – The aim of the present study is to evaluate the accuracy and efficiency of Lattice-BGK (LBGK) method application in simulation of the 3D flow through complex geometry. On the other hand, the steady flows through vascular tube with Reynolds number 10-150 and different constriction spacing ratios are simulated. Design/methodology/approach – The numerical method is based on the LGBK meth...

To enable the lattice-Boltzmann method (LBM) to account for temporally constant but spatially varying thermophysical properties, modifications must be made. Recently, many methods have emerged that can conjugate heat transfer (CHT). However, there still is a lack of information on possible physical property range regarding realistic properties. Therefore, two test cases were investigated gain f...

In this paper, we present an intensive investigation of the finite volume method (FVM) compared to difference methods (FDMs). order show main in way approaching solution, take Burgers equation and Buckley–Leverett as examples simulate previously mentioned methods. On one hand, results using schemes Lax–Friedrichs Lax–Wendroff. other apply Godunov’s scheme method. Moreover, how starting with a v...

This study develops robust numerical algorithms for the simulation of three-phase (solid-liquid-gas) boiling and bubble formation problems in rectangular channels. The are based on Finite Volume Methods (FVM) implement both volume-of-fluid (VOF) methods liquid-gas interface tracking as well volume-fraction to account concentration embedded solid nano-particles liquid phase. Water is used base-l...