Combined refinement criteria for anisotropic grid refinement in free-surface flow simulation

Wackers, Jeroen; Deng, Ganbo; Guilmineau, Emmanuel; Leroyer, Alban; Queutey, P.; Visonneau, Michel

doi:10.1016/j.compfluid.2013.12.019

Cited by 41 publications

(44 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Examples of feature-based refinement indicators include measures of vorticity or vortex detection methods, 15 boundary layer detection, or those based on gradients of the mass fraction for two-phase flows. 16 These methods are often inefficient and they might lack of robustness, as they do not take into account error propagation and the refinement of certain features might not be relevant for the computation of target quantities. However, their implementation is often simple and inexpensive and can provide reasonable results when employed by expert users.…”

Section: Introductionmentioning

confidence: 99%

A comparison of refinement indicators for p-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations

Naddei¹,

Plata²,

Couaillier³

2018

2018 AIAA Aerospace Sciences Meeting

View full text Add to dashboard Cite

This paper presents an analysis of refinement indicators for the numerical solution of the Euler and the Navier-Stokes equations using a p-adaptive discontinuous Galerkin (DG) method. Residual error, discretization error and feature-based indicators are studied in the context of p-adaptive DG simulations of two inviscid flow configurations, namely, the flow over a Gaussian bump and the flow past a circular cylinder. As expected, the superiority of local p-refinement as compared to uniform p-refinement is clearly observed. The results obtained highlight the efficiency of the considered refinement indicators with respect to an indicator based on the local entropy error. In particular, they identify regions where numerical errors are being produced and not those where errors are being convected. Finally the p-adaptive algorithm is applied to the simulation of the laminar flow past a circular cylinder at Re = 40. The great potential of the spectral decay 1 and VMS 2 indicators, which combine accuracy and computational efficiency, is also demonstrated.

show abstract

Section: Introductionmentioning

confidence: 99%

A comparison of refinement indicators for p-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations

Naddei¹,

Plata²,

Couaillier³

2018

2018 AIAA Aerospace Sciences Meeting

View full text Add to dashboard Cite

show abstract

“…These problems are classified into three categories. The first one includes interfacial problems such as shockwave propagation (Brown et al 2015), flame-vortex interaction (Hartmann et al 2011), combustion process (Tonini et al 2008), liquid solidification process (Lan et al 2002), bubble evolution (Ryskin & Leal 1984), and free-surface motion (Wackers et al 2014). The second category includes boundary-layer or vortex-flow problems, such as driven-cavity flow (Peng et al 2010), wake flow (Kamkar et al 2011), and the vortex-shedding phenomenon (de Tullio et al 2007).…”

Section: Introductionmentioning

confidence: 99%

“…It is quite useful in solving water wave modelling problems, especially in regions close to the free surface and structural boundaries (e.g. Hay et al 2006;Wackers et al 2014). In an early study, one of our related previous research output (Tang & Chang 1997) was developed for a two-dimensional unsteady stream function based on the wave model with locally refined grids near the free surface.…”

Section: Introductionmentioning

confidence: 99%

Study of a solitary wave interacting with a surface piercing square cylinder using a three-dimensional fully nonlinear model with grid-refinement technique on surface layers

Chang

2017

Journal of Marine Engineering & Technology

View full text Add to dashboard Cite

To cite this article: Chih-Hua Chang (2017) Study of a solitary wave interacting with a surface piercing square cylinder using a three-dimensional fully nonlinear model with grid-refinement technique on surface layersABSTRACT This study introduces a three-dimensional fully nonlinear wave model, which solves the Laplace equation of the velocity potentials. A base-grid system is adopted in view of a transient curvilinear coordinate transformation along the vertical direction, while the horizontal coordinates remain uniformly distributed. To capture the variations of the free surface more accurately and effectively, the necessary denser grids can be specified within the vertically divided multi-plane layers near the free surface. In addition, fine grids can be arranged around the structures included in the flow domain. The model is first validated for the case of a solitary wave propagating along a narrow uniform-depth channel to investigate the level of solution improvement by the grid-refining technique. Smoothing is applied to remove the weak-fluctuation waves produced by the interpolation. In addition, the initial condition of the solitary wave is adjusted from the long-wave analytical solution to fit the presented fully nonlinear wave model. The results indicate that both efficiency and accuracy increase greatly by applying the fully nonlinear wave model as compared with a model using a uniformly non-refined grid system. Second, this model is applied to study a coastal problem related to a solitary wave diffracted by a surface-piercing square cylinder with or without a separating distance between the seabed and the bottom of the structure. ARTICLE HISTORY

show abstract

“…The AGR algorithm [5] begins with the computational domain covered with a coarse grid. As the calculation progresses, the mesh is regularly adapted based on the refinement criterion: a tensor field computed from the second derivatives of the solution, whose values determine which parts of the mesh should be refined or derefined.…”

Section: Adaptive Grid Refinement With Averaged Quantitiesmentioning

confidence: 99%

Average-Based Adaptive Grid Refinement in Hybrid LES

2020

View full text Add to dashboard Cite

Combined refinement criteria for anisotropic grid refinement in free-surface flow simulation

Abstract: International audienc

Cited by 41 publications

References 16 publications

A comparison of refinement indicators for p-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations

A comparison of refinement indicators for p-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations

Study of a solitary wave interacting with a surface piercing square cylinder using a three-dimensional fully nonlinear model with grid-refinement technique on surface layers

Average-Based Adaptive Grid Refinement in Hybrid LES

Contact Info

Product

Resources

About