[PDF] Top 20 A note on pressure accuracy in immersed boundary method for Stokes flow

... solving Stokes equations (1) and (2) is to discretize them directly and solve the resultant linear system for the velocity and pressure ...periodic boundary condi- tions in which FFT ... See full document

... locations. In these runs, we simply use a linear interpolation to compute the solutions at the desired ...term in the equations, regularizing the singular term by smoothing the discrete delta ... See full document

... fraction for the TT to TB transition versus the reduced ...of a lipid membrane encapsulating some cellular contents. For instance, a compound vesicle usually consists of a lipid bilayer ... See full document

... Abstract. A numerical scheme based on the immersed interface method (IIM) is devel- oped to simulate the dynamics of an axisymmetric viscous drop under an electric ...field. In this ... See full document

... develop a hybrid immersed boundary (IB) and immersed interface method (IIM) to simulate the dynamics of a drop under an electric field in Navier–Stokes ...properties ... See full document

... develop a simple immersed boundary method to simulate the dynamics of three-dimensional axisymmetric inextensible vesicles in Navier–Stokes ...introducing a Lagrange’s ... See full document

... r a c t In this paper, we develop a coupled immersed boundary (IB) and immersed interface method (IIM) to simulate the interfacial flow problems with soluble ...is, ... See full document

... involve a two-phase incompressible flow but also require to enforce an incompressibility constraint of the membrane surface, which makes the problem more ...methods for simulating vesicle problems in ... See full document

... the immersed boundary method has also been tested for ...appear in compu- tations where the flow is unsteady despite the steady boundary conditions, due to alternate ... See full document

... an immersed boundary method is proposed for the simulation of two-dimensional fluid interfaces with insoluble ...written in a usual immersed boundary formulation ... See full document

... present method over the one in [27] . For stationary Stokes and Darcy coupling equations, both the five-equation and six-equation approaches work well for computed velocity as long as ... See full document

... interface. For the soluble surfactant case, another coupling bulk convection-diffusion equation needs to be solved in one of bulk re- ...gions. In early computational models of surfactant problems, ... See full document

... functions in the literature, the computational results are not much different for two- and three-dimensional ...tests for this and other examples show that the accuracy of the computed ... See full document

... work in [15], the idea is to solve the fluid equations by the usual immersed boundary method and the elec- tric potential by the immersed interface method proposed in ... See full document

... The immersed boundary (IB) method of Peskin [20] is the first Cartesian grid method to provide a simple solution to the fluid problems interacting with complicated inter- ...The ... See full document

... introduced a semi-implicit boundary forcing approach, where the updated stretching factor is used in the forcing term so that the developed backward Euler and Crank-Nicholson schemes are ... See full document

... of a virtual particle to regularize the particle’s rigid motion ...scheme on a staggered grid, the resulting linear system can easily be reduced by eliminating the unknowns p h , σ h and F h directly ... See full document

... equations for an incompressible viscous ...variables in the fluid equations are the fluid velocity, uðx; tÞ; the fluid pressure, pðx; tÞ, where x ¼ ðx; yÞ are fixed Cartesian coordinates, and t is the ... See full document

... of immersed boundary simulations, the interface is tracked in a Lagrangian ...based on the interpolated local fluid ...or accuracy can be ...shown in our previous im- ... See full document

... ACCURATE BOUNDARY TREATMENT FOR THE GENERALIZED MAC SCHEME ON CURVILINEAR DOMAINS (V06) ...Abstract. In this paper, we introduce a new finite difference scheme to deal with the unsteady ... See full document