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Showing 1 to 16 of 16 for “"High order methods."”.
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Unsteady aerodynamics using high-order methods
… of unsteady fluid motions at low Mach numbers. High order numerical schemes are employed to this effect. The Detached Eddy Simulation (DES) method is considered for the turbulence modelling part. At the start of this project, the combination of high order Computational Aeroacoustics (CAA) …
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From efficient high-order methods to scientific machine learning.
… some limitations of the current Finite Element Methods (FEM) packages. We focus on the efficient implementation of implicit time discretization schemes, achieving computational savings by exploiting the structure of serendipity elements and developing a wrapper that integrates Machine Learning …
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From efficient high-order methods to scientific machine learning.
… some limitations of the current Finite Element Methods (FEM) packages. We focus on the efficient implementation of implicit time discretization schemes, achieving computational savings by exploiting the structure of serendipity elements and developing a wrapper that integrates Machine Learning …
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Acceleration Techniques for Industrial Large Eddy Simulation with High-Order Methods on CPU-GPU Clusters
… with more complex problems such as flow over high lift configurations and through aircraft engines. The present work has the overall objective of reducing the computational cost of industrial LES. The high-order flux reconstruction (FR) method is used as the spatial discretization scheme. …
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Numerical Analysis of Flux Reconstruction
High-order methods have become of increasing interest in recent years in computational physics. This is in part due to their perceived ability to, in some cases, reduce the computational overhead of complex problems through both an efficient use of computational resources and a reduction in the …
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Entropy behavior for underresolved discontinuous Galerkin discretizations of the Navier-Stokes equations
High-order methods are emerging as a crucial tool for aerodynamics. One application is for solving large eddy simulations (LES). The use of the discontinuous Galerkin (DG) discretization in particular has attractive properties for these simulations. The stabilization methods used for high-order DG …
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DEVELOPMENT OF HIGH-ORDER FINITE VOLUME METHODS ON UNSTRUCTURED GRIDS AND THEIR APPLICATIONS
… some of the bottleneck problems of the existing high-order methods, two straightforward mesh-free scheme-based high-order finite volume (FV) methods on unstructured grids are developed in this thesis for simulation of various flow problems. Under the basic framework of the unstructured finite …
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Stabilized finite elements for compressible turbulent Navier-Stokes
… approach is utilized in the development of a high-order flow solver for compressible turbulent flows. The Reynolds averaged Navier-Stokes (RANS) equations and modified Spalart-Almaras (SA) turbulence model are discretized using the streamline/upwind Petrov-Galerkin (SUPG) scheme. A fully …
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High Order Finite Elements for Lagrangian Computational Fluid Dynamics
… FEM framework allows for separate arbitrarily high order representation of kinematic and thermodynamic variables. An accompanying hydrodynamics code written in Matlab is presented as a test-bed to experiment with various basis function choices. A wide range of basis function pairs are …
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A discontinuous Galerkin spectral element method compressible flow solver
We develop and implement algorithms for highly-scalable high-order compressible flow simulation using the discontinuous Galerkin spectral element method. The algorithms are designed for simulation of compressible turbulence in realistic engineering geometries that are relevant to a broad range of …
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Multimethods for the Efficient Solution of Multiscale Differential Equations
… Advances in computing hardware and numerical methods have allowed these models to become larger and more sophisticated. Increasingly, problems can be described as multiphysics and multiscale as they combine several different physical processes with different characteristics. If just one part …
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A time-spectral hybridizable discontinuous Galerkin method for periodic flow problems
… limited in accuracy and efficiency by the low-order Finite Volume and time-marching methods they typically employ. These methods introduce significant numerical dissipation in the simulated flow, and can require hundreds of timesteps to describe a periodic flow with only a few harmonic modes. …
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Low-order finite element preconditioner for spectral element pressure solver in Navier-Stokes equations
High-order spectral element methods (SEM) while very accurate for computational fluid dynamics (CFD) simulations can be prohibitively expensive for meshes with difficult geometries. Controlling the number of iterations in the pressure solver can significantly reduce the computing time of CFD …
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An adaptive high order Reynolds-averaged Navier-Stokes solver with transition prediction
… in industrial solvers remains nominally second order accurate, which makes them unfeasible to resolve multi-scale phenomena such as turbulence or acoustics, and limits their efficiency in terms of the error per degree of freedom. In recent years, the CFD community has put significant effort into …
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Dynamic Load Balancing for a hp-adaptive Discontinuous Galerkin Wave Equation Solver via Spacing-Filling Curve and Advanced Data Structure
… flows, e.g., turbulent flow, often resort to high-order methods to obtain high resolutions. However, a large-scale, time-dependent, long-time simulation can be extremely computationally expensive. To achieve high resolution while maximizing the computational savings, we combine a high-order …
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High accuracy computational methods for the semiclassical Schrödinger equation
… Hamiltonian. This technique allows us to design methods that are highly efficient in the semiclassical regime. Our analysis takes place in the Lie algebra generated by multiplicative operators and polynomials of the differential operator. This Lie algebra is completely characterised by Jordan …