A multiscale stabilized ALE formulation for incompressible flows with moving boundaries

Calderer, Ramon; Masud, Arif

doi:10.1007/s00466-010-0487-z

Cited by 63 publications

(43 citation statements)

References 35 publications

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“…A similar approach for deriving the multiscale formulation of the Navier-Stokes equations on a moving domain was presented in [77]. However, a quasi-static fine-scale assumption given by Equation (12) was used instead of Equation (14).…”

Section: Remarkmentioning

confidence: 98%

3D simulation of wind turbine rotors at full scale. Part I: Geometry modeling and aerodynamics

Bazilevs

Hsu

Akkerman

et al. 2010

Numerical Methods in Fluids

303

180

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SUMMARYIn this two-part paper we present a collection of numerical methods combined into a single framework, which has the potential for a successful application to wind turbine rotor modeling and simulation. In Part 1 of this paper we focus on: 1. The basics of geometry modeling and analysis-suitable geometry construction for wind turbine rotors; 2. The fluid mechanics formulation and its suitability and accuracy for rotating turbulent flows; 3. The coupling of air flow and a rotating rigid body. In Part 2 we focus on the structural discretization for wind turbine blades and the details of the fluid-structure interaction computational procedures. The methods developed are applied to the simulation of the NREL 5MW offshore baseline wind turbine rotor. The simulations are performed at realistic wind velocity and rotor speed conditions and at full spatial scale. Validation against published data is presented and possibilities of the newly developed computational framework are illustrated on several examples.

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Section: Remarkmentioning

confidence: 98%

3D simulation of wind turbine rotors at full scale. Part I: Geometry modeling and aerodynamics

Bazilevs

Hsu

Akkerman

et al. 2010

Numerical Methods in Fluids

303

180

View full text Add to dashboard Cite

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“…In Section 3, we recall the Galerkin method in the framework of NURBS-based IGA with variational multiscale method with terms accounting for LES modelling (VMS-LES) formulation [30,52,53] and the generalized-˛method [54][55][56] for the discretization in space and time, respectively. In Section 2, we define the problem of modelling the blood flow in an idealized two-dimensional LV for which we consider the incompressible Navier-Stokes equations in ALE formulation; we describe the LV geometry and the governing law for the imposed LV motion.…”

Section: Introductionmentioning

confidence: 99%

Fluid dynamics of an idealized left ventricle: the extended Nitsche's method for the treatment of heart valves as mixed time varying boundary conditions

Tagliabue

Dedè

Quarteroni

2017

Numerical Methods in Fluids

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In this work, we study the blood flow dynamics in idealized left ventricles (LV) of the human heart modelled by the Navier–Stokes equations with mixed time varying boundary conditions. The latter are introduced for simulating the functioning of the aortic and mitral valves. On the basis of the extended Nitsche's method firstly presented in [Juntunen and Stenberg, Mathematics of Computation, 2009], we propose a formulation allowing an efficient and straightforward numerical treatment of the opening and closing phases of the heart valves that are associated with different kind of boundary conditions, namely, natural and essential, switching during each heartbeat. Moreover, our formulation already includes terms preventing the numerical instabilities associated to backflow divergence, that is, nonphysical reinflow at the valves. We present and discuss numerical results for the LV obtained by means of isogeometric analysis for the spatial approximation with the aim of both analysing the formulation and showing the effectiveness of the approach. In particular, we show that the formulation allows to reproduce meaningful results even in idealized L

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“…In the rest of this paper moving mesh based on the ALE frame of reference would be termed as ALE moving mesh. Khurram and Masud [15], and Calderer and Masud [16] also employed the ALE moving mesh concept in multiscale/stabilized formulation of the incompressible Navier-Stokes equations. A literature review reveals that ALE moving mesh schemes can be applied to a wide range of FSI problems like human breathing system, blood circulatory system, aerodynamic behavior of aircrafts, flows around ships and submarines, seismic response of liquid storage tanks, propagation of solitary and shock waves and even in the flow over micro structures.…”

Section: Introductionmentioning

confidence: 98%

A Parallel Implementation of ALE Moving Mesh Technique for FSI Problems using OpenMP

Hussain¹,

Abid²,

Ahmad³

et al. 2011

Int J Parallel Prog

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This paper investigates a high performance implementation of an Arbitrary Lagrangian Eulerian moving mesh technique on shared memory systems using OpenMP environment. Moving mesh techniques are considered an integral part of a wider class of fluid mechanics problems that involve moving and deforming spatial domains, namely, free-surface flows and Fluid Structure Interaction (FSI). The moving mesh technique adopted in this work is based on the notion of nodes relocation, subjected to a certain evolution as well as constraint conditions. A conjugate gradient method augmented with preconditioning is employed for solution of the resulting system of equations. The proposed algorithm, initially, reorders the mesh using an efficient divide and conquer approach and then parallelizes the ALE moving mesh scheme. Numerical simulations are conducted on the multicore AMD Opteron and Intel Xeon processors, and unstructured triangular and tetrahedral meshes are used for the 2D and 3D problems. The quality of generated meshes is checked by comparing the element Jacobians in the reference and current meshes, and by keeping track of the change in the interior angles in triangles and tetrahedrons. Overall, 51 and 72% efficiencies in terms of speedup are achieved for both the parallel mesh reordering and ALE moving mesh algorithms, respectively.

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A multiscale stabilized ALE formulation for incompressible flows with moving boundaries

Cited by 63 publications

References 35 publications

3D simulation of wind turbine rotors at full scale. Part I: Geometry modeling and aerodynamics

3D simulation of wind turbine rotors at full scale. Part I: Geometry modeling and aerodynamics

Fluid dynamics of an idealized left ventricle: the extended Nitsche's method for the treatment of heart valves as mixed time varying boundary conditions

A Parallel Implementation of ALE Moving Mesh Technique for FSI Problems using OpenMP

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