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This paper presents a numerical study in which several partitioned solution procedures for incompressible fluid-structure interaction are compared and validated against the results of an experimental fluid-structure interaction benchmark. The numerical methods discussed cover the three main families of coupling schemes: strongly coupled, semi-implicit, and loosely coupled. Very good agreement is observed between the numerical and experimental results. The comparisons confirm that strong coupling can be efficiently avoided, via semi-implicit and loosely coupled schemes, without compromising stability and accuracy. Copyright © 2016 John Wiley & Sons, Ltd., (Copyright © 2016 John Wiley & Sons, Ltd.)

This paper is mainly concerned with the motion of an incompressible fluid in a slowly rotating spherical basin using the fractional step method. The algorithm is applied by splitting the three-dimensional shallow water equations into three problems each of one dimension in every direction using the Riemann invariant. The next step is the successive integration in all directions along the characteristics associated with cubic spline interpolation. It has the advantage of reducing the three-dimensional matrix problem into an equivalent one-dimensional problem, the simplicity of this algorithm makes it very suitable for parallel computers. Numerical results are represented in three-dimensional for the velocity components at different times with different Coriolis parameters. It is worthy to note that such a study has useful applications in the science of oceanography. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, the numerical solution of the Navier–Stokes equations by the Characteristic-Based-Split (CBS) scheme is accelerated with the Minimum Polynomial Extrapolation (MPE) method to obtain the steady state solution for evolution incompressible and compressible problems. The CBS is essentially a fractional time-stepping algorithm based on an original finite difference velocity-projection scheme where the convective terms are treated using the idea of the Characteristic-Galerkin method. In this work, the semi-implicit version of the CBS with global time-stepping is used for incompressible problems whereas the fully-explicit version is used for compressible flows. At the other end, the MPE is a vector extrapolation method that transforms the original sequence into another sequence converging to the same limit faster then the original one without the explicit knowledge of the sequence generator. The developed algorithm, tested on two-dimensional benchmark problems, demonstrates the new computational features arising from the introduction of the extrapolation procedure to the CBS scheme. In particular, the results show a remarkable reduction of the computational cost of the simulation. [Copyright &y& Elsevier]

Abstract: This paper presents two stabilized schemes of the fractional step algorithm using characteristic-based split and Taylor–Galerkin like based split respectively in the meshfree context. An iterative procedure which makes the convective term satisfy the momentum conservation equation in an implicit sense is introduced into the two schemes to allow much larger time step sizes. A modified version of finite increment calculus process for incompressibility stabilization is developed to avoid the calculation of high order spatial derivatives. Numerical experiments demonstrate the capability and stability of the proposed schemes of the meshfree-based fractional step method in the simulation of incompressible flows. [Copyright &y& Elsevier]