Derivation of Principal Jump Conditions for the Immersed Interface Method in Two-fluid Flow Simulation
نویسندگان
چکیده
Abstract. In a flow of two immiscible incompressible viscous fluids, jump discontinuities of flow quantities appear at the two-fluid interface. The immersed interface method can accurately and efficiently simulate the flow without smearing the sharp interface by incorporating necessary jump conditions into a numerical scheme. In this paper, we systematically derive the principal jump conditions for the velocity, the pressure, and their normal derivatives.
منابع مشابه
Systematic Derivation of Jump Conditions for the Immersed Interface Method in Three-Dimensional Flow Simulation
In this paper, we systematically derive jump conditions for the immersed interface method [SIAM J. Numer. Anal., 31 (1994), pp. 1019–1044; SIAM J. Sci. Comput., 18 (1997), pp. 709–735] to simulate three-dimensional incompressible viscous flows subject to moving surfaces. The surfaces are represented as singular forces in the Navier–Stokes equations, which give rise to discontinuities of flow qu...
متن کاملAn immersed interface method for simulating the interaction of a fluid with moving boundaries
In the immersed interface method, boundaries are represented as singular force in the Navier–Stokes equations, which enters a numerical scheme as jump conditions. Recently, we systematically derived all the necessary spatial and temporal jump conditions for simulating incompressible viscous flows subject to moving boundaries in 3D with second-order spatial and temporal accuracy near the boundar...
متن کاملCFD Modeling of the Feed Distribution System of a Gas-Solid Reactor
Granular flow simulation using CFD has received a lot of attention in recent years. In such cases, CFD is either, coupled with Discrete Element Method (DEM) techniques for appropriate incorporation of inter-particle collisions, or the Eulerian CFD approach is used in which granular particles are treated as they were fluid. In the present study, a CFD analysis was performed...
متن کاملA New High-Order Immersed Interface Method for Multi-Phase Flow Simulation
Numerical simulation of two-phase flow with imbedded interface of discontinuity is challenging in two major aspects. First, the interface can undergo change, merge and breakup during the course of the simulation. Examples of current successful methods in modeling flow with interface are, among others, the volume-of-fluid method, fronttracking method, and level-set method. Second, flow variables...
متن کاملNumerical simulation of the fluid dynamics in a 3D spherical model of partially liquefied vitreous due to eye movements under planar interface conditions
Partially liquefied vitreous humor is a common physical and biochemical degenerative change in vitreous body which the liquid component gets separated from collagen fiber network and leads to form a region of liquefaction. The main objective of this research is to investigate how the oscillatory motions influence flow dynamics of partial vitreous liquefaction (PVL). So far computational fluid d...
متن کامل