46 results found
Vermeire BC, Loppi NA, Vincent PE, 2019, Optimal Runge-Kutta schemes for pseudo time-stepping with high-order unstructured methods, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 383, Pages: 55-71, ISSN: 0021-9991
Loppi NA, Witherden FD, Jameson A, et al., 2018, A high-order cross-platform incompressible Navier-Stokes solver via artificial compressibility with application to a turbulent jet, COMPUTER PHYSICS COMMUNICATIONS, Vol: 233, Pages: 193-205, ISSN: 0010-4655
Corbett RW, Grechy L, Iori F, et al., 2018, Heterogeneity in the nonplanarity and arterial curvature of arteriovenous fistulas in vivo, JOURNAL OF VASCULAR SURGERY, Vol: 68, Pages: 152S-163S, ISSN: 0741-5214
Park JS, Witherden FD, Vincent PE, 2017, High-order accurate implicit Large Eddy Simulations of flow over a NACA0021 aerofoil in deep stall, AIAA Journal, ISSN: 1533-385X
In this study the GPU-accelerated solver PyFR is used to simu-late flow over a NACA0021 aerofoil in deep stall at a Reynolds numberof 270, 000 using the high-order Flux Reconstruction (FR) approach.Wall-resolved Implicit Large Eddy Simulations (ILES) are undertakenon unstructured hexahedral meshes at fourth- and fifth-order accuracyin space. It was found that either modal filtering, or anti-aliasing viaan approximate L2 projection, is required in order to stabilise simu-lations. Time-span averaged pressure coefficient distributions on theaerofoil, and associated lift and drag coefficients, are seen to converge towards experimental data as the simulation setup is made more realis-tic by increasing the aerofoil span. Indeed, the lift and drag coefficientsobtained by fifth-order ILES with anti-aliasing via an approximateL2projection agree better with experimental data than a wide range ofprevious studies. Stabilisation via modal filtering, however, is foundto reduce solution accuracy. Finally, performance of various PyFRsimulations is compared, and it is found that fifth-order simulationswith anti-aliasing via an L2 projection are the most efficient. Resultsindicate that high-order FR schemes with anti-aliasing via anL2 projection are a good candidate for underpinning accurate wall-resolved ILES of separated, turbulent flows over complex engineering geometries.
Grechy L, Iori F, Corbett RW, et al., 2017, Suppressing unsteady flow in arterio-venous fistulae, PHYSICS OF FLUIDS, Vol: 29, ISSN: 1070-6631
Vincent P, Grechy L, Corbett R, 2017, A device for maintaining vascular connections
There is provided a device for maintaining a vascular connection comprising a vein- supporting section and an artery-supporting section. The centreline of the vein-supporting section and the centreline of the artery-supporting section meet at an intersection point which defines the origin of a right-handed Cartesian coordinate system. The centreline of the artery-supporting section is arcuate and lies in the region y<=0 and has a tangent parallel to the x axis at the origin and wherein the artery-supporting section is configured to carry blood flow in a direction from negative x towards positive x. A tangent of the centreline of the vein-supporting section at the origin has direction [cos (Θ) sin (Φ), sin (Θ) sin (Φ), ± cos (Φ)], where Φ is in the range 225 to 270 degrees and Θ is in the range 200 to 300 degrees.
Grechy L, Iori F, Corbett RW, et al., 2017, The Effect of Arterial Curvature on Blood Flow in Arterio-Venous Fistulae: Realistic Geometries and Pulsatile Flow, CARDIOVASCULAR ENGINEERING AND TECHNOLOGY, Vol: 8, Pages: 313-329, ISSN: 1869-408X
Park JS, Witherden FD, Vincent PE, 2017, High-Order Implicit Large-Eddy Simulations of Flow over a NACA0021 Aerofoil, AIAA JOURNAL, Vol: 55, Pages: 2186-2197, ISSN: 0001-1452
Vermeire BC, Witherden FD, Vincent PE, 2017, On the utility of GPU accelerated high-order methods for unsteady flow simulations: A comparison with industry-standard tools, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 334, Pages: 497-521, ISSN: 0021-9991
Vermeire BC, Vincent PE, 2017, On the behaviour of fully-discrete flux reconstruction schemes, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol: 315, Pages: 1053-1079, ISSN: 0045-7825
Vermeire BC, Vincent PE, 2016, On the properties of energy stable flux reconstruction schemes for implicit large eddy simulation, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 327, Pages: 368-388, ISSN: 0021-9991
Witherden FD, Vincent PE, Jameson A, 2016, High-Order Flux Reconstruction Schemes, Handbook of Numerical Analysis, Pages: 227-263
© 2016 Elsevier B.V. There is an increasing desire among industrial practitioners of computational fluid dynamics to undertake high-fidelity scale-resolving simulations of unsteady flows within the vicinity of complex geometries. Such simulations require numerical methods that can operate on unstructured meshes with low numerical dissipation. The flux reconstruction (FR) approach describes one such family of numerical methods, which includes a particular type of collocation-based nodal discontinuous Galerkin method, and spectral difference methods, as special cases. In this chapter we describe the current state-of-the-art surrounding research into FR methods. To begin, FR is described in one dimension for both advection and advection–diffusion problems. This is followed by a description of its extension to multidimensional tensor product and simplex elements. Stability and accuracy issues are then discussed, including an overview of energy-stability proofs, von Neumann analysis results, and stability characteristics when the flux function of the governing system is nonlinear. Finally, implementation aspects are outlined in the context of modern hardware platforms, and three example applications of FR are presented, demonstrating the potential utility of FR schemes for scale resolving simulation of unsteady flow problems.
Witherden FD, Park JS, Vincent PE, 2016, An Analysis of Solution Point Coordinates for Flux Reconstruction Schemes on Tetrahedral Elements, JOURNAL OF SCIENTIFIC COMPUTING, Vol: 69, Pages: 905-920, ISSN: 0885-7474
Mengaldo G, De Grazia D, Vincent PE, et al., 2016, On the Connections Between Discontinuous Galerkin and Flux Reconstruction Schemes: Extension to Curvilinear Meshes, JOURNAL OF SCIENTIFIC COMPUTING, Vol: 67, Pages: 1272-1292, ISSN: 0885-7474
Wozniak BD, Witherden FD, Russell FP, et al., 2016, GiMMiK-Generating bespoke matrix multiplication kernels for accelerators: Application to high-order Computational Fluid Dynamics, COMPUTER PHYSICS COMMUNICATIONS, Vol: 202, Pages: 12-22, ISSN: 0010-4655
Vincent P, Witherden F, Vermeire B, et al., 2016, Towards Green Aviation with Python at Petascale, International Conference on High Performance Computing, Networking, Storage and Analysis (SC), Publisher: IEEE, Pages: 1-11
Vincent PE, Farrington AM, Witherden FD, et al., 2015, An extended range of stable-symmetric-conservative Flux Reconstruction correction functions, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol: 296, Pages: 248-272, ISSN: 0045-7825
Leow CH, Iori F, Corbett R, et al., 2015, MICROBUBBLE VOID IMAGING: A NON-INVASIVE TECHNIQUE FOR FLOW VISUALISATION AND QUANTIFICATION OF MIXING IN LARGE VESSELS USING PLANE WAVE ULTRASOUND AND CONTROLLED MICROBUBBLE CONTRAST AGENT DESTRUCTION, ULTRASOUND IN MEDICINE AND BIOLOGY, Vol: 41, Pages: 2926-2937, ISSN: 0301-5629
Kahk JM, Villar-Garcia IJ, Grechy L, et al., 2015, A study of the pressure profiles near the first pumping aperture in a high pressure photoelectron spectrometer, JOURNAL OF ELECTRON SPECTROSCOPY AND RELATED PHENOMENA, Vol: 205, Pages: 57-65, ISSN: 0368-2048
Mengaldo G, De Grazia D, Moxey D, et al., 2015, Dealiasing techniques for high-order spectral element methods on regular and irregular grids, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 299, Pages: 56-81, ISSN: 0021-9991
Witherden FD, Vermeire BC, Vincent PE, 2015, Heterogeneous computing on mixed unstructured grids with PyFR, COMPUTERS & FLUIDS, Vol: 120, Pages: 173-186, ISSN: 0045-7930
Witherden FD, Vincent PE, 2015, On the identification of symmetric quadrature rules for finite element methods, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol: 69, Pages: 1232-1241, ISSN: 0898-1221
Iori F, Grechy L, Corbett RW, et al., 2015, The effect of in-plane arterial curvature on blood flow and oxygen transport in arterio-venous fistulae, PHYSICS OF FLUIDS, Vol: 27, ISSN: 1070-6631
Vincent PE, Witherden FD, Farrington AM, et al., 2015, PyFR: Next-generation high-order computational fluid dynamics on many-core hardware
© 2015, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved. High-order numerical methods for unstructured grids combine the superior accuracy of high-order spectral or finite difference methods with the geometric flexibility of low-order finite volume or finite element schemes. The Flux Reconstruction (FR) approach unifles various high-order schemes for unstructured grids within a single framework. Additionally, the FR approach exhibits a signiflcant degree of element locality, and is thus able to run efflciently on modern many-core hardware platforms, such as Graphical Processing Units (GPUs). The aforementioned properties of FR mean it offers a promising route to per-forming affordable, and hence industrially relevant, scale-resolving simulations of hitherto intractable unsteady flows within the vicinity of real-world engineering geometries. Here we present PyFR, an open-source Python based framework for solving advection-diffusion type problems using the FR approach. The framework is designed to solve a range of governing systems on mixed unstructured grids containing various element types. It is also designed to target a range of hardware platforms via use of a custom Mako-derived domain specific language. Specifically, the current release of PyFR is able to solve the compressible Euler and Navier-Stokes equations on grids of quadrilateral and triangular elements in two dimensions, and hexahedral, tetrahedral, prismatic, and pyramidal elements in three dimensions, targeting clusters of multi-core CPUs, NVIDIA GPUs (K20, K40 etc.), AMD GPUs (S10000, W9100 etc.), and heterogeneous mixtures thereof. Results will be presented for various benchmark and real-world' flow problems. PyFR is freely available under an open-source 3-Clause New-Style BSD license (www.pyfr.org).
Witherden FD, Vincent PE, 2014, An Analysis of Solution Point Coordinates for Flux Reconstruction Schemes on Triangular Elements, JOURNAL OF SCIENTIFIC COMPUTING, Vol: 61, Pages: 398-423, ISSN: 0885-7474
Witherden FD, Farrington AM, Vincent PE, 2014, PyFR: An open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach, COMPUTER PHYSICS COMMUNICATIONS, Vol: 185, Pages: 3028-3040, ISSN: 0010-4655
De Grazia D, Mengaldo G, Moxey D, et al., 2014, Connections between the discontinuous Galerkin method and high-order flux reconstruction schemes, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Vol: 75, Pages: 860-877, ISSN: 0271-2091
Huynh HT, Wang ZJ, Vincent PE, 2014, High-order methods for computational fluid dynamics: A brief review of compact differential formulations on unstructured grids, COMPUTERS & FLUIDS, Vol: 98, Pages: 209-220, ISSN: 0045-7930
Vincent PE, Weinberg PD, 2014, Flow-dependent concentration polarization and the endothelial glycocalyx layer: multi-scale aspects of arterial mass transport and their implications for atherosclerosis, BIOMECHANICS AND MODELING IN MECHANOBIOLOGY, Vol: 13, Pages: 313-326, ISSN: 1617-7959
Mengaldo G, De Grazia D, Peiro J, et al., 2014, A guide to the implementation of boundary conditions in compact high-order methods for compressible aerodynamics
The nature of boundary conditions, and how they are implemented, can have a significant impact on the stability and accuracy of a Computational Fluid Dynamics (CFD) solver. The objective of this paper is to assess how different boundary conditions impact the performance of compact discontinuous high-order spectral element methods (such as the discontinuous Galerkin method and the Flux Reconstruction approach), when these schemes are used to solve the Euler and compressible Navier-Stokes equations on unstructured grids. Specifically, the paper will investigate inflow/outflow and wall boundary conditions. In all studies the boundary conditions were enforced by modifying the boundary flux. For Riemann invariant (characteristic), slip and no-slip conditions we have considered a direct and an indirect enforcement of the boundary conditions, the first obtained by calculating the flux using the known solution at the given boundary while the second achieved by using a ghost state and by solving a Riemann problem. All computations were performed using the open-source software Nektar++ (www.nektar.info).
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