Applying Massively Parallel Interface for MPFA scheme with advanced linearization for fluid flow in porous media

We apply Massively Parallel Interface for MPFA-O scheme with state-of-the-art Operator-Based Linearization (OBL) approach for multiphase flow in porous media. The implementation of MPFA-O scheme enhances the modelling capabilities for non-K-orthogonal mesh. A fully implicit scheme is applied to guarantee the stability of solutions when a mass...

Modeling Sand Wave Field Dynamics in the North Sea using Delft3D Flexible Mesh

Offshore wind farms are being built at an unprecedented pace in the North Sea. The Dutch government is aiming for a CO2 neutral energy supply by 2050 and vast cost reductions have turned (offshore) wind energy into a worthy competitor for other (green) energy sources. Most of the planned wind farms in the Dutch North Sea are located in areas...

Accurate geothermal and chemical dissolution simulation using adaptive mesh refinement on generic unstructured grids

A coupled description of flow and thermal-reactive transport is spanning a wide range of scales in space and time, which often introduces a significant complexity for the modelling of such processes. Subsurface reservoir heterogeneity with complex multi-scale features increases the modelling complexity even further. Traditional multiscale...

Extension of B-spline Material Point Method for unstructured triangular grids using Powell–Sabin splines

The Material Point Method (MPM) is a numerical technique that combines a fixed Eulerian background grid and Lagrangian point masses to simulate materials which undergo large deformations. Within the original MPM, discontinuous gradients of the piecewise-linear basis functions lead to the so-called grid-crossing errors when particles cross...

A Multiscale Finite Volume Method for Discrete Fracture Modeling on Unstructured Grids

A novel multiscale method for discrete fracture modeling on unstructured grids (MS-DFM) is developed. To this end, the DFM fine-scale discrete system is constructed using unstructured conforming cells for the matrix with lower-dimensional fracture elements placed at their interfaces. On this unstructured fine grid, MS-DFM imposes independent...

Implementation of wave effects in the unstructured Delft3D suite

Recently an unstructured version of Delft3D, named D-Flow FM, has been developed at Deltares. This tool shows high potentials for coastal modelling due to the flexibility in domain resolution and unstructured grids. This MSc thesis focussed on implementing wave effects in D-Flow FM with satisfying results. In addition, a coupling system is built...

An approach towards generic coastal geomorphological modelling with applications

This thesis presents the development a generic morphological model for both structured and unstructured grid and the extension to a biogeomorphological model. For the morphological model, numerical algorithms are adjusted to adapt unstructured grid and are validated against analytical solutions and flume experiments. For the bio-geomorphological...

Morphological modelling of the Atrato river delta in Colombia

The Colombian government aims to establish a connection that bridges the Atlantic Ocean and the Pacific Ocean. The new connection will largely take place on the current Atrato River, which has not yet been upgraded for a more extensive use of navigation in the near future. A bottleneck in the river is the delta area. Without structural dredging...

Efficient scheme for the shallow water equations on unstructured grids with application to the Continental Shelf

In this paper, a shallow-water flow solver is presented, based on the finite-volume method on unstructured grids The method is suitable for flows that occur in rivers, channels, sewer systems (1D), shallow seas, rivers, overland flow (2D), and estuaries, lakes and shelf breaks (3D). We present an outline of the numerical approach and show three...

Model and full-scale free-surface viscous flows around fully-appended ships

Two appended hull configurations have been simulated using all hexahedral unstructured grids. Numerical uncertainty is assessed with grid refinement. Influence of turbulence model and wall function approach have also been investigated. Scale effect is also studied for one configuration. Numerical results are validated both with measurement data...

Simulation of Three Phase Flow in Porous Media Using a High-Resolution Central Scheme

This article aims to demonstrate the advantages of using a high resolution central scheme in the field of multiphase flow in porous media. The black oil model, used in the petroleum reservoir engineering, is employed as it generally provides an acceptable model for most reservoirs and recovery processes. The governing equations are split into a...

A three-dimensional finite volume method for incompressible Navier-Stokes equations on unstructured hybrid staggered grids

In this work, a new method was described for spatial discretization of threedimensional Navier Stokes equations in their primitive form, on unstructured, staggered grids. Velocities were placed on the cell faces and pressure in cell centers and were linked with the projection method. Thanks to the variable arrangement, no stabilization procedure...

Domain Decomposition Approach for Automatic Parallel Generation of 3D Unstructured Grids

The desire to simulate more and more geometrical and physical features of technical structures and the availability of parallel computers and parallel numerical solvers which can exploit the power of these machines have lead to a steady increase in the number of grid elements used. Memory requirements and computational time are too large for...

Unstructured periodic grid generation around 2D turbine cascades

A novel grid generation algorithm for periodic unstructured grid around two-dimensional highly-staggered turbine cascades, including multiply connected blade geometries, is presented. The idea is to generate the mesh in a transformed space in which the periodic boundaries are coincident and internal to the computational domain so that no special...

A finite volume solver for the simulation of transport processes

The simulation of the tracer transport process is an increasingly important tool to predict the distribution of pollution released in coastal waters. The equation that governs the tracer transport is the advection-diffusion equation. Thanks to the tremendous developments in computer resources and in computing techniques, it has become possible...

Superlinearly Convergent Unstructured Staggered Schemes for Compressible and Incompressible Flows

The major issue addressed in this thesis is the development of a Mach-uniform method that uses a staggered scheme on planar unstructured grids with triangular cells, that has a superlinear rate of convergence. In our staggered grid, the normal velocity components are associated with cell faces, whereas scalar variables are assigned to cell...