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Numerical Heat Transfer And Fluid Flow

An efficient ghost-cell immersed boundary method (GCIBM) for simulating turbulent flows in complex geometries is presented. A boundary condition is enforced through a ghost cell method. The reconstruction procedure allows systematic development of numerical schemes for treating the immersed boundary while preserving the overall second-order accuracy of the base solver. Both Dirichlet and Neumann boundary conditions can be treated. The current ghost cell treatment is both suitable for staggered and non-staggered Cartesian grids. The accuracy of the current method is validated using flow past a circular cylinder and large eddy simulation of turbulent flow over a wavy surface. Numerical results are compared with experimental data and boundary-fitted grid results. The method is further extended to an existing ocean model (MITGCM) to simulate geophysical flow over a three-dimensional bump. The method is easily implemented as evidenced by our use of several existing codes.

A Ghost-Cell Immersed Boundary Method for Flow in Complex Geometry

A review of open channel turbulence, focusing especially on certain features stemming from the presence of the free surface and the bed of a river. Part one presents the statistical theory of turbulence; Part two addresses the coherent structures in open-channel flows and boundary layers.

Turbulence in Open-Channel Flows

are the liquid density and surface tension).This law is also observed to hold on partially wettable surfaces, provided that liquidsof low viscosity (such as water) are used. The law is interpreted as resulting fromthe eﬀective acceleration experienced by the drop during its impact. Viscous dropsare also analysed, allowing us to propose a criterion for predicting if the spreading islimited by capillarity, or by viscosity.

Maximal deformation of an impacting drop

Multiphase inertia‐dominated ow simulations, and free surface ow models in particular, continue to this day to present many challenges in terms of accuracy and computational cost to industry and research communities. Numerical Wave Tanks (NWT) and their use for studying wave‐structure interactions are a good example. FEM with anisotropic meshes combined with dynamic mesh algorithms have already shown the potential to significantly reduce the number of elements and simulation time with no accuracy loss. However, mesh anisotropy can lead to mesh quality‐related instabilities.

This paper presents a very robust FEM approach based on a CV discretisation of the pressure field for inertia dominated ows, which can overcome the typically encountered mesh quality limitations associated with extremely anisotropic elements. Highly compressive methods for the water‐air interface are used here. The combination of these methods is validated with multiphase free surface ow benchmark cases, showing very good agreement with experiments even for extremely anisotropic meshes, reducing by up to two orders of magnitude the required number of elements to obtain accurate solutions.

https://onlinelibrary.wiley.com/doi/pdf/10.1002/fld.4845

Robust control volume finite element methods for numerical wave tanks using extreme adaptive anisotropic meshes

The paper presents the contribution to the CCP-WSI Blind Test, in which the responses of wave energy converterssubjected to extreme waves are considered, by a hybrid model, qaleFOAM, coupling a two-phase Navier–Stokes (NS) modeland the fully nonlinear potential theory (FNPT) using the spatially hierarchical approach. The former governs a limitedcomputational domain (NS domain) around the structures and is solved by the OpenFOAM/InterDyMFoam. The lattercovers the rest of the domain (FNPT domain) and is solved by using the quasi Lagrangian-Eulerian finite element method.Two numerical techniques have been developed to tackle the challenges and maximizing the computational efficiency ofthe qaleFOAM, including a modified solver for the six-degree-of-freedom motions of rigid bodies in the NS model and animproved passive wave absorber imposed at the outlet of the NS domain. With these developments, the accuracy and thecomputational efficiency of the qaleFOAM are analyzed for the cases considered in the blind test.

CCP-WSI Blind Test Using qaleFOAM with an Improved Passive Wave Absorber

A large-eddy-simulation-based numerical wave tank for three-dimensional wave-structure interaction

Flows of multiple fluid phases are common in many subsurface reservoirs. Numerical simulation of these flows can be challenging and computationally expensive. Dynamic adaptive mesh optimisation and related approaches, such as adaptive grid refinement can increase solution accuracy at reduced computational cost. However, in models or parts of the model domain, where the local Courant number is large, the solution may propagate beyond the region in which the mesh is refined, resulting in reduced solution accuracy, which can never be recovered. A methodology is presented here to modify the mesh within the non-linear solver. The method allows efficient application of dynamic mesh adaptivity techniques even with high Courant numbers. These high Courant numbers may not be desired but a consequence of the heterogeneity of the domain. Therefore, the method presented can be considered as a more robust and accurate version of the standard dynamic mesh adaptivity techniques.

/pdf/a-robust-mesh-optimisation-method-for-multiphase-porous-3el2osaj01.pdf

A robust mesh optimisation method for multiphase porous media flows

A Double Control Volume Finite Element Method with Dynamic Unstructured Mesh Optimization

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