Three-Dimensional Edge-Based SUPG Computation of Inviscid Compressible Flows With YZβ Shock-Capturing

Catabriga, Lucia; Souza, Denis A. F. de; Coutinho, Álvaro L. G. A.; Tezduyar, Tayfun E.

doi:10.1115/1.3062968

Cited by 20 publications

(9 citation statements)

References 24 publications

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“…The DSD/SST formulation, like most stabilized formulations, involves stabilization parameters that play an important role in determining the accuracy of the formulation. There are various ways of defining the stabilization parameters (see, for example [4,7,8,42,[89][90][91][92][93][94][95][96][97][98][99][100]). The ones used with the DSD/SST formulation in recent years have mostly been those given in [7,8], including the stabilization parameter embedded in the "least squares on incompressibility constraint (LSIC)" stabilization.…”

Section: Introductionmentioning

confidence: 99%

Numerical-performance studies for the stabilized space–time computation of wind-turbine rotor aerodynamics

et al. 2011

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We present our numerical-performance studies for 3D wind-turbine rotor aerodynamics computation with the deforming-spatial-domain/stabilized space-time (DSD/SST) formulation. The computation is challenging because of the large Reynolds numbers and rotating turbulent flows, and computing the correct torque requires an accurate and meticulous numerical approach. As the test case, we use the NREL 5MW offshore baseline windturbine rotor. We compute the problem with both the original version of the DSD/SST formulation and the version with an advanced turbulence model. The DSD/SST formulation with the turbulence model is a recently-introduced space-time version of the residual-based variational multiscale method. We include in our comparison as reference solution the results obtained with the residual-based variational multiscale Arbitrary Lagrangian-Eulerian method using NURBS for spatial discretization. We test different levels of mesh refinement and different definitions for the stabilization parameter embedded in the "least squares on incompressibility constraint" stabilization. We compare the torque values obtained.

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Section: Introductionmentioning

confidence: 99%

Numerical-performance studies for the stabilized space–time computation of wind-turbine rotor aerodynamics

et al. 2011

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“…There are various ways of defining the stabilization parameters (see, e.g., [33,65,70,[77][78][79][80][81][82][83][84][85][86][87][88][89][90]). The ones used with the DSD/SST formulation in recent years have mostly been those given in [33,65].…”

Section: Introductionmentioning

confidence: 99%

Stabilized space–time computation of wind-turbine rotor aerodynamics

et al. 2011

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We show how we use the Deforming-SpatialDomain/Stabilized Space-Time (DSD/SST) formulation for accurate 3D computation of the aerodynamics of a windturbine rotor. As the test case, we use the NREL 5MW offshore baseline wind-turbine rotor. This class of computational problems are rather challenging, because they involve large Reynolds numbers and rotating turbulent flows, and computing the correct torque requires an accurate and meticulous numerical approach. We compute the problem with both the original version of the DSD/SST formulation and a recently introduced version with an advanced turbulence model. The DSD/SST formulation with the advanced turbulence model is a space-time version of the residual-based variational multiscale method. We compare our results to those reported recently, which were obtained with the residualbased variational multiscale Arbitrary Lagrangian-Eulerian method using NURBS for spatial discretization and which we take as the reference solution. While the original DSD/SST formulation yields torque values not far from the reference solution, the DSD/SST formulation with the variational multiscale turbulence model yields torque values very close to the reference solution.

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“…The new shock-capturing parameters were also used in combination with the V-SGS method [36,37], and the results were reported in [38,39]. In [40], the new shock-capturing parameters were used in edge-based SUPG computation of inviscid compressible flows.…”

Section: Introductionmentioning

confidence: 99%

Space–time SUPG formulation of the shallow‐water equations

Takase¹,

Kashiyama

Tanaka

et al. 2010

Numerical Methods in Fluids

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SUMMARYWe present a new space-time SUPG formulation of the shallow-water equations. In this formulation, we use a stabilization parameter that was introduced for compressible flows and a new shock-capturing parameter. In the context of two test problems, we evaluate the performance of the new shock-capturing parameter. We also evaluate the performance of the space-time SUPG formulation compared to the semi-discrete SUPG formulation, where the system of semi-discrete equations is solved with the central-difference (Crank-Nicolson) time-integration algorithm.

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Three-Dimensional Edge-Based SUPG Computation of Inviscid Compressible Flows With YZβ Shock-Capturing

Cited by 20 publications

References 24 publications

Numerical-performance studies for the stabilized space–time computation of wind-turbine rotor aerodynamics

Numerical-performance studies for the stabilized space–time computation of wind-turbine rotor aerodynamics

Stabilized space–time computation of wind-turbine rotor aerodynamics

Space–time SUPG formulation of the shallow‐water equations

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