-
Chapter and Conference Paper
Curvilinear Mesh Generation for the High-Order Virtual Element Method (VEM)
We present a proof-of-concept methodology for generating curvilinear polygonal meshes suitable for high-order discretizations by the Virtual Element Method (VEM). A VEM discretization requires the definition o...
-
Chapter and Conference Paper
Eigenspectral Analysis of Preconditioners in an Adaptive Compressible Flow Solver
An implicit-in-time discontinuous Galerkin (DG) solver has been developed for compressible flows, which adopts an adaptive time step** strategy balancing different discretization errors. To study the effects...
-
Article
Open AccessAnalysis of Fire Throttling in Longitudinally Ventilated Tunnels With a One-dimensional Model
Fire throttling is the increase in flow resistance due to a large fire in a longitudinally ventilated tunnel. Although the fire throttling effect has been been known and studied for tunnels over the last 40 ye...
-
Article
Open AccessDevelopment of a Balanced Adaptive Time-Step** Strategy Based on an Implicit JFNK-DG Compressible Flow Solver
A balanced adaptive time-step** strategy is implemented in an implicit discontinuous Galerkin solver to guarantee the temporal accuracy of unsteady simulations. A proper relation between the spatial, tempora...
-
Article
Unexpected Oscillations in Fire Modelling Inside a Long Tunnel
-
Chapter and Conference Paper
An LES Setting for DG-Based Implicit LES with Insights on Dissipation and Robustness
We suggest a new interpretation of implicit large eddy simulation (iLES) approaches based on discontinuous Galerkin (DG) methods by analogy with the LES-PLB framework (Pope, Fluid mechanics and the environment...
-
Chapter
On the Generation of Curvilinear Meshes Through Subdivision of Isoparametric Elements
Recently, a new mesh generation technique based on the isoparametric representation of curvilinear elements has been developed in order to address the issue of generating high-order meshes with highly stretche...
-
Chapter and Conference Paper
Modified Equation Analysis for the Discontinuous Galerkin Formulation
In this paper we present an assessment of the discontinuous Galerkin (DG) formulation through modified equation analysis (MEA). When applied to linear advection, MEA can help to clarify wave-propagation proper...
-
Article
Open AccessPhysical determining factors of the arterial pulse waveform: theoretical analysis and calculation using the 1-D formulation
The shape of the arterial pulse waveform is intimately related to the physical properties of the cardiovascular system. It is clinically relevant to measure those properties that are related to cardiovascular ...
-
Article
A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching
We present a numerical algorithm for a new matching approach for parameterisation independent diffeomorphic registration of curves in the plane, targeted at robust registration between curves that require larg...
-
Article
Impact of the Fibre Bed on Resin Viscosity in Liquid Composite Moulding Simulations
In the past, simulation of liquid composite moulding processes was often based on the assumption that resin viscosity could be implemented as a constant value. However, viscosity can be subject to changes duri...
-
Chapter
From image data to computational domains
The advent of high-resolution imaging systems and powerful computational resources has made it possible to obtain information about the in vivo anatomy of blood vessels in a non invasive way. By employing this...
-
Chapter
Reduced models of the cardiovascular system
Due to the large number of vessels involved and the multitude of different length scales required to accurately represent the flow in the various regions of the cardiovascular system, simulations of the flow o...
-
Chapter
Applications and test cases
Although medical imaging can provide relatively accurate geometric data of in vivo bypass grafts, as will be discussed in Section 12.1.2, to obtain an understanding of the general flow features it is instructive ...
-
Article
Automatic reconstruction of a patient-specific high-order surface representation and its application to mesh generation for CFD calculations
We describe a set of procedures for the shape reconstruction and mesh generation of unstructured high-order spatial discretization of patient-specific geometries from a series of medical images and for the sim...
-
Chapter
Finite Difference, Finite Element and Finite Volume Methods for Partial Differential Equations
There are three important steps in the computational modelling of any physical process: (i) problem definition, (ii) mathematical model, and (iii) computer simulation.
