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Maljaars, J.M. (author), Labeur, R.J. (author), Möller, M. (author)A generic particle–mesh method using a hybridized discontinuous Galerkin (HDG) framework is presented and validated for the solution of the incompressible Navier–Stokes equations. Building upon particleincell concepts, the method is formulated in terms of an operator splitting technique in which Lagrangian particles are used to discretize...journal article 2018
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He, X. (author), Vuik, C. (author), Klaij, Christiaan M. (author)The augmented Lagrangian (AL) preconditioner and its variant have been successfully applied to solve saddle point systems arising from the incompressible NavierStokes equations discretized by the finite element method. Attractive features are the purely algebraic construction and robustness with respect to the Reynolds number and mesh renement....journal article 2018
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Blom, D.S. (author), Birken, Philipp (author), Bijl, H. (author), Kessels, F.J.M. (author), Meister, Andreas (author), van Zuijlen, A.H. (author)In this article, we endeavour to find a fast solver for finite volume discretizations for compressible unsteady viscous flows. Thereby, we concentrate on comparing the efficiency of important classes of time integration schemes, namely time adaptive Rosenbrock, singly diagonally implicit (SDIRK) and explicit first stage singly diagonally...journal article 2016
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He, X. (author), Vuik, C. (author)In this report we explore the performance of the SIMPLER , augmented Lagrangian, ’graddiv’ preconditioners and their variants for the twobytwo block systems arising in the incompressible NavierStokes equations. The liddriven cavity and flow over a finite flat plate are chosen as the benchmark problems. For each problem Reynolds number...report 2013
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Bulelzai, M.A.K. (author)Atherosclerosis is a disease in which low density lipoproteins (LDL) accumulate in the arterial wall due to an inflammatory response, which is triggered by the oxidation of LDL molecules that are already present in the arterial wall. Progression of atherosclerotic plaques involves many components which includes, macrophages, monocytes, LDL,...doctoral thesis 2013
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Brändle de Motta, J.C. (author), Breugem, W.P. (author), Gazanion, B. (author), Estivalezes, J.L. (author), Vincent, S. (author), Climent, E. (author)A general model is presented for shortrange hydrodynamic interactions and headon particleparticle/wall collisions. The model has been embedded in two distinct numerical methods for fully resolved simulation of finitesize particles in a viscous fluid. It accounts for the material properties of the particles and lubrication effects prior to...journal article 2013
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He, X. (author), Neytcheva, M. (author), Vuik, C. (author)This paper deals with fast and reliable numerical solution methods for the incompressible nonNewtonian NavierStokes equations. To handle the nonlinearity of the governing equations, the Picard and Newton methods are used to linearize these coupled partial differential equations. For space discretization we use the finite element method and...report 2013
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 Van Neerven, J.M.A.M. (author), Veraar, M.C. (author), Weis, L. (author) journal article 2012
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Labeur, R.J. (author), Wells, G.N. (author)A hybrid method for the incompressible Navier–Stokes equations is presented. The ethod inherits the attractive stabilizing mechanism of upwinded discontinuous Galerkin methods hen momentum advection becomes significant, equalorder interpolations can be used for the velocity nd pressure fields, and mass can be conserved locally. Using continuous...journal article 2012
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Akkerman, I. (author), Bazilevs, Y. (author), Calo, V.M. (author), Hughes, T.J.R. (author), Hulshoff, S. (author)This paper examines the role of continuity of the basis in the computation of turbulent flows. We compare standard finite elements and nonuniform rational Bsplines (NURBS) discretizations that are employed in Isogeometric Analysis (Hughes et al. in Comput Methods Appl Mech Eng, 194:4135–4195, 2005). We make use of quadratic discretizations...journal article 2007
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Gillissen, J.J.J. (author), Boersma, B.J. (author), Mortensen, P.H. (author), Andersson, H.I. (author)Fiberinduced drag reduction can be studied in great detail by means of direct numerical simulation [ J. S. Paschkewitz et al., J. Fluid Mech. 518, 281 (2004) ]. To account for the effect of the fibers, the NavierStokes equations are supplemented by the fiber stress tensor, which depends on the distribution function of fiber orientation angles....journal article 2007
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Kenjere, S. (author), Hanjali?, K. (author), Renaudier, S. (author), Stefani, F. (author), Gerbeth, G. (author), Gailitis, A. (author)Magnetic fields of planets, stars, and galaxies result from selfexcitation in moving electroconducting fluids, also known as the dynamo effect. This phenomenon was recently experimentally confirmed in the Riga dynamo experiment [ A. Gailitis et al., Phys. Rev. Lett. 84, 4365 (2000) ; A. Gailitis et al., Physics of Plasmas 11, 2838 (2004) ],...journal article 2006
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Manservisi, S. (author)Optimal boundary control problems associated with the NavierStokes equations coupled with the energy equation have a wide and important range of applications. Velocity, pressure and temperature describe most systems and the control through their boundary conditions is the most common in their optimal design. Despite the fact that this field has...conference paper 2006
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Bassi, F. (author), Crivellini, A. (author)Discontinuous Galerkin (DG) methods have proved to be very well suited for the construction of robust highorder numerical schemes on unstructured and possibly non conforming grids for a wide variety of problems. In this paper we consider natural convection flow problems and present a highorder DG method for their numerical solution. The...conference paper 2006
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Alzaeili, J.S.L. (author), Mazaheri, K. (author)In solution of the Euler equations in the steady state conditions, the error or residual waves are blamed for the reduction of convergence rate. These waves may be damped by adding a bulk viscosity term to the momentum equations. It was done to the Euler equations previously and in this work this method has been applied to the NavierStokes...conference paper 2006
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Efraimsson, G. (author), Gong, J. (author), Svärd, M. (author), Nordström, J. (author)A highorder accurate multiblock NavierStokes code is evaluated and tested by considering the flow over a cavity in two space dimensions. Both shear layer mode and wake mode are studied. The efficiency, robustness and flexibility of the code is demonstrated.conference paper 2006
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Lube, G. (author)The numerical solution of the nonstationary, incompressible NavierStokes model can be split into linearized auxiliary problems of Oseen type. We present in a unique way different stabilization techniques of finite element schemes on isotropic and hybrid meshes. First we describe the stateoftheart for the classical residualbased SUPG/PSPG...conference paper 2006
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Dolejsi, V. (author), Hozman, J. (author)We deal with a numerical solution of the compressible NavierStokes equations with the aid of higher order schemes. We employ a combination of the discontinuous Galerkin finite element method for the space semidiscretization and a backward difference formula for the time discretization. Moreover, using a linearization of inviscid as well as...conference paper 2006
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Gastaldo, L. (author), Babik, F. (author), Herbin, R. (author), Latché, J.C. (author)We present in this paper a pressure correction scheme for barotropic com pressible NavierStokes equations, which enjoys an unconditional stability property, in the sense that the energy and maximumprinciplebased a priori estimates of the continuous problem also hold for the discrete solution. The stability proof is based on two independent...conference paper 2006
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John, V. (author), Tambulea, A. (author)Two realizations of finite element variational multiscale (VMS) methods for the simulation of incompressible turbulent flows are studied. The difference between the two approaches consists in the way the spaces for the large scales and the resolved small scales are chosen. The paper addresses issues of the implementation of these methods, the...conference paper 2006