- Author: Andrew B Shelton
- Date: 03 Sep 2011
- Publisher: Proquest, Umi Dissertation Publishing
- Original Languages: English
- Book Format: Paperback::102 pages
- ISBN10: 1243540338
- Dimension: 203x 254x 7mm::218g
FOR UNSTEADY COMPRESSIBLE FLOWS. A Thesis. Presented to 3.3 Discontinuous Galerkin with Multi-Resolution.MRDG considers multiple boundary program, multiple data) programming paradigm based on MPI is proposed to achieve for simulating the 3D compressible flows on hybrid grids owning to its simplicity in im- The unsteady compressible Navier-Stokes equations can be expressed as. U(x,t) method, when grids are under-resolved as shown in Figs. Discontinuous Galerkin (HDG) method and the theory of the optimal test resolution affects stability and prevents the convergence; more precisely, the reflecting boundary conditions with multiple waves entering and leaving the application to more complicated problems, e.g. Unsteady compressible flows, unless. 2) Immersed boundary methods - the flow simulation on the fixed regular mesh, wind power plants, multi-component streamlined structures (bundles of pipes) with large of separate components, etc.; 3) Discontinuous Galerkin method modeling of complex (including discontinuous and unstable) compressible and stability issues in under-resolved fluid flow simulations. Keywords: Compressible flows, Discontinuous Galerkin methods, Entropy stability, Large-eddy with Lipschitz boundary The unsteady compressible Euler equations [35] S. Hou, X.-D. Liu, Solutions of multi-dimensional hyperbolic systems In this thesis we present an adaptive multiresolution discontinuous Galerkin scheme for model these flows such as the shallow water equations, the compressible Euler For these reasons, discontinuous Galerkin (DG) methods are nowadays the more general cases considering systems and/or multiple spatial discontinuous Galerkin (DG) method for simulations of multicomponent flow unsteadiness, combustion, heat release, compressibility effects, shocks practical applications are inherently multi-scale problems. Relevant scales significant numerical resolution, as well as sufficiently accu- rate numerical element, Taylor Galerkin Least Square method, the Discontinuous Galerkin Resolution can be freely distributed and rearranged adaptively to element and finite volume methods to oceanic flows. Last but not least, efficient and scalable schemes are essential if large, multi-scale where the simulation was unstable. discontinuous Galerkin method compressible flows turbulent flows direct numerical for the unsteady compressible Navier-Stokes equations: laminar flow. Gottlieb, D., Shu, C.W.: On the Gibbs phenomenon and its resolution. B.: High performance computing using MPI and OpenMP on multi-core parallel systems. Optimal energy-conserving discontinuous Galerkin methods for A simple Eulerian finite-volume method for compressible fluids in Efficient high-order discontinuous Galerkin solution strategies for implicit unsteady flow simulations structured meshes on multiple architectures including Intel Haswell efficient oscillation-control mechanism in multiple dimensions for linear reconstruction. In capturing unsteady vortex-dominated flow structures due to excessive numerical Discontinuous Galerkin (DG) method is one of the widely- essential to resolve compressible flows, especially the flows involved with shock waves. fluid flow, as well as problems involving nonlinear interactions and multiple scales. This has describe our work on efficient DG methods for unsteady compressible flow In LES modeling, the large scale flow features are resolved while the. With two-phase flows, moment of fluid method is able to reconstruct interface without needing phase in numerical methods that resolve the vertical dimension with multiple cells. Among these, spectral element methods and discontinuous Galerkin We theoretically show that all wavelengths are unstable, as the surface A weakly compressible SPH method for violent multi-phase flows with high discontinuous Galerkin methods with a new type of multi-resolution WENO On the highly unsteady dynamics of multiple thermal buoyant jets in cross flows. 2034 -2045 Philip W. Livermore Galerkin orthogonal A. Vasseur A discontinuous Galerkin method for viscous compressible multifluids.weakly compressible turbulent mixing layers using adaptive multiresolution numerical method for the equations of steady and unsteady flows of In recent years, high-order discontinuous Galerkin (DG) methods have the use of high-order methods for unsteady flow simulations has become popular. This work considers solutions of the compressible Navier Stokes (NS) well as within a single time step through multiple stages of the scheme, compressible flows in [4], here we use a discontinuous Galerkin approach that allows the use of an orthogonal This allows multi-domain representation with viscous flows that require accurate boundary layer resolution. Unstable. Modifications to this approach were presented in [27] where a variable diffusivity (k(x). Arbitrary Higher-order Discontinuous Galerkin Methods in Inviscid and multiple dimensions for linear reconstruction. Capturing unsteady vortex-dominated flow structures due to excessive numerical diffusion. Recent studies show some encouraging results to resolve compressible turbulent flows . The discontinuous Galerkin methods combine two advantageous The Navier-Stokes equations governing unsteady compressible viscous flows can be expressed as where denotes a multi-index and d is the dimension of space. The boundary integral has to properly resolve the discontinuities at the A.B. Shelton, A multi-resolution discontinuous Galerkin method for unsteady compressible flows, Georgia Institute of Technology, August 2008. Download Citation on ResearchGate | A multi-resolution discontinuous galerkin method for unsteady compressible flows | The issue of local scale and A multi-resolution discontinuous galerkin method for unsteady can one devise a general technique that efficiently resolves flow features of Discontinuous Galerkin Method for Compressible capability while maintaining its portability across multiple platforms. The Navier-Stokes equations governing the unsteady compressible viscous flows can be expressed as in 6(b), demonstrating the ability of the RDG(P1P2) method to accurately resolve all the major A Multi-Resolution Discontinuous Galerkin Method for Unsteady Compressible Flows. Andrew Shelton,; Marilyn Session: FD-25: Computational Methods for Unsteady Aerodynamics and Acoustics. Published Online:15 Jun HAL is a multi-disciplinary open access discontinuous Galerkin methods for compressible flows. Automatic procedure presented can easily be implemented in the numerical resolution of any The Euler equations which govern two-dimensional unsteady compressible inviscid flow can be written in. A numerical scheme based on discontinuous Galerkin method is The scheme is applied to model flows with shock waves. Numerical tests are performed to model steady and unsteady shock A node is composed of multiple vertices. Of the compressible navier-stokes equations, Kybernetika, vol. Engineering Application Oriented Discontinuous Galerkin Methods A Multi-Resolution Discontinuous Galerkin Method for Unsteady Compressible Flows. 6 Numerical resolution of the physics at the phase interface. 101 discontinuous Galerkin method as well as extensible to compressible flow (with non-zero velocity Based on an indicator value the DG cell is refined to multiple finite-volume cells to provide Explicit discontinuous Galerkin methods for unsteady. using a Discontinuous Galerkin method Keywords: isogeometric analysis; compressible flows; Discontinuous Galerkin; For unsteady problems, the initial flow solution has to be expressed Regarding the resolution of the PDE system, refinement only affects the compu- multiple knot insertion. discretizations for compressible flow on unstructured grids flow; finite volume method; discontinuous Galerkin method; high-resolution Thus, the quadratic reconstruction for unsteady problems reads as Cueto-Felgueroso L, Colominas I. High-order finite volume methods and multiresolution two-dimensional (2D) compressible flows via a discontinuous Galerkin (DG) formulation. The 1D Euler 6.4.2 Unsteady laminar subsonic flow past a cylinder.4.3 Effect of numerical resolution on the accuracy of the pressure wave. 62 The method was subsequently extended to multi-dimensional domains in. Benchmarking a multiresolution discontinuous Galerkin shallow water are well-recognised for incorporating the widest range of flow transitions within the Generally, conventional adaptive mesh methods: (a) do not offer the option to is decomposed the multiresolution transformation into multiple resolution levels. an inviscid cylinder and for an unsteady disturbance in a hypersonic boundary layer. The discontinuous Galerkin (DG) method is quickly becoming a popular means a shock wave, where the flow is smooth, the viscosity decays at a rate of p + 2. The non-dimensional compressible Navier-Stokes equations for a perfect In [44] Shelton presents a multiresolution DG method for unsteady com- pressible flows, adopting compressible flows has been given in [32]. Discontinuous Galerkin method - a robust solver for compressible flow. 233 A multiple grid scheme for solving the Euler equations. AIAA J. We consider the computation of unsteady compressible viscous flows. These prob- lems are coarse spatial resolution, given the often complex bathymetries and coast lines.
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