Flow around a marine propulsor under crashback operating condition is computed using the large eddy simulation methodology. The incompressible NavierStokes equations are simulated in a rotating frame of reference that rotates with the propulsor. A nondissipative and robust finite volume method developed by Mahesh et al. (2004) is used on unstructured grids. The simulation yields good mean value...

This article considers the iterative solution of a finite element discretisation of the magma dynamics equations. In simplified form, the magma dynamics equations share some features of the Stokes equations. We therefore formulate, analyse and numerically test a Elman, Silvester and Wathen-type block preconditioner for magma dynamics. We prove analytically and demonstrate numerically the optima...

A new high-resolution flux-based finite volume method for general advection equations in non-divergent form including a level set equation for moving interfaces is introduced. The method is applicable to the case of non-divergence free velocity and to general unstructured grids in higher dimensions. We show that the method is consistent and that the numerical solution fulfils discrete minimum/m...

This paper demonstrates that scalability and competitive eeciency can be achieved for unstructured grid nite element applications on distributed memory machines, such as the Connection Machine CM-5 system. The eeciency of nite element solvers is analyzed through two applications: an implicit computational aerodynamics application and an explicit solid mechanics application. Scalability of mesh ...

This paper describes an efficient random walk particle tracking (RWPT) method for finite element models in two dimensions. The method for interpolation of global node based velocities for unstructured grids and the implementation of the RWPT are described. The RWPT method is verified using published results of particle path lines to verify the calculation of the velocity field. RWPT transport r...

Multipoint flux approximation (MPFA) techniques are commonly applied for discretizing the porous media flow equations within the context of finite volume numerical procedures. Although these methods can be applied to heterogeneous, anisotropic systems on generally unstructured grids, the inverse of the resulting linear operator can suffer from a loss of monotonicity at high permeability anisotr...

Averaging techniques are popular tools in adaptive finite element methods for the numerical treatment of second order partial differential equations since they provide efficient a posteriori error estimates by a simple post-processing. In this paper, their reliablility is shown for conforming, noncon-forming, and mixed low order finite element methods in a model situation: the Laplace equation ...

A three-dimensional object of interest in an engineering analysis, using mesh-based computational technology, requires watertight surface geometry. However, obtaining watertight surfaces is challenging due to presence of deficiencies or artifacts such as gaps, holes etc. on the surfaces. This research note presents implementation of a volumetric approach for repairing those surfaces which other...

Abstract. A gradient based method is presented for optimization of an airfoil configuration. The flow is governed by two dimensional, compressible Euler equations. A finite volume code based on unstructured grid is developed to solve the equations. The procedure is carried out for optimizing an airfoil with initial configuration of NACA 0012. The advantage of this technique over the other gradi...

We present a general framework for constructing and analyzing finite volume methods applied to the mixed formulation of second-order elliptic problems on quadrilateral grids. The control volumes, or covolumes, in the grids overlap. An overlapping finite volume method of this type was first introduced by Russell in [T. F. Russell, Tech. report 3, Reservoir Simulation Research Corp., Tulsa, OK, 1...