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Showing 1 to 20 of 118 for “"Euler equations"”.
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Parallelization of the Euler Equations on Unstructured Grids
… different time-integration algorithms for the Euler equations are investigated on two distributed-memory parallel computers using an explicit message-passing paradigm: these are classic Euler Explicit, four-stage Jameson-style Runge-Kutta, Block Jacobi, Block Gauss-Seidel, and Block Symmetric …
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Adaptive Finite Element Methods for the Compressible Euler Equations
… laws, as for example the compressible Euler equations of gas dynamics. Based on this finite element method, we develop an adaptive algorithm for the efficient computation of physically relevant quantities of the solution. This includes a posteriori error estimation of the error in the …
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A Cartesian finite-volume method for the Euler equations
… complex two-dimensional geometries. The Euler equations are solved using a finite-volume method with a non-body-fitted Cartesian grid. A new numerical formulation for complicated body geometries is developed in conjunction with implicit flux-splitting schemes. A variety of numerical …
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An adaptive finite element solution algorithm for the Euler equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1988.
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Computational aeroacoustics via linearized Euler equations in the frequency domain
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1993.
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Two-dimensional transonic aerodynamic design and analysis using the Euler equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1986.
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A consistent direct-iterative inverse design method for the Euler equations
… method wherein the identical governing equations are used in both portions of the design procedure. The new shape modification method is simple, having been developed from a truncated, quasi-analytical Taylor's series expansion of the global governing equations. This method includes a …
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Adaptive finite element solutions of the steady Euler equations using a sensitivity approach
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1997.
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Three-dimensional upward scheme for solving the Euler equations on unstructured tetrahedral grids
… is developed for solving the three-dimensional Euler equations on unstructured tetrahedral meshes. The method yields solution accuracy and efficiency comparable to that currently available from similar structured-grid codes. The key to achieving this result is a novel cell reconstruction process …
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Computational Solutions of the Forward and Adjoint Euler Equations with Application to Duct Aeroacoustics
… in this study. In addition, the adjoint equations for the linearized Euler equations in the time domain are formulated for the Cartesian coordinates Analytical solution for adjoint equations is derived by using Green's function in 2D and 3D. The derivation of reciprocal relations is …
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Computation of unsteady transonic flowfields using shock capturing and the linear perturbation Euler equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1992.
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A comparison of flux-splitting algorithms for the Euler equations with equilibrium air chemistry
The use of flux-splitting techniques on the Euler equations is considered for high Mach number, high temperature flows in which the fluid is assumed to be inviscid air in equilibrium. Three different versions of real gas extensions to the Steger-Warming and Van Leer flux-vector splitting, and four …
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The Linearized Euler Equations for Predicting Supersonic Jet Noise of a Rectangular Jet Using OpenFOAM
<p>This thesis presents a Linearized Euler Equation (LEE) solver that was developed for OpenFOAM. OpenFOAM is an open-source Computational Fluid Dynamics (CFD) package that is widely used by industry and academia. The LEE’s are a set of equations used in Computational Aeroacoustics (CAA). The LEE’s …
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An Analytical Asymptotic Solution Method of the Euler Equations for Efficient Flow Analysis and Aerodynamic Design
… based on analytical asymptotic solutions of the Euler equations. The solution algorithm uses an analytical asymptotic formulation in the streamline coordinate system, wherein the governing equations are transformed into a non-homogeneous Cauchy-Riemann system. A sequence of coordinate …
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Almost well-posedness of the full water wave equation on the finite stripe domain
… by a rigid flat bottom. Then, the governing equations for the motion of the fluid flow are called Euler equations. If the initial fluid flow is prescribed at time zero, i.e., mathematically the initial condition for the Euler equations is given, the long-time existence of a unique solution …
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Application of Improved Truncation Error Estimation Techniques to Adjoint Based Error Estimation and Grid Adaptation
… error estimation for both the quasi-1D and 2D Euler equations. The new truncation error estimation techniques are based on local reconstructions of the computed solutions and comparisons are made for the quasi-1D study in order to determine the most appropriate solution variables to reconstruct …
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An Improvement of Convection Fidelity in Euler Calculations
… solution procedure was developed to solve the Euler equations for steady, compressible, rotational, inviscid flows. The approach is aimed to achieve real inviscid solutions in Euler calculations by eliminating the numerical diffusion inherent in conventional approaches. In conventional …
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An a posteriori error control framework for adaptive precision optimization using discontinuous Galerkin finite element method
… airfoil design using compressible Navier-Stokes equations and 3D multipoint design of aircraft configurations using inviscid Euler equations. There have also been significant effort in applying adjoint methods to the unstructured grid setting. In this context, Newman et al., Elliot and Peraire …
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A Perfectly Matched Layer Method for the Navier-Stokes equations
… has been mostly limited to the linearized Euler equations. Attempts to apply PML to the nonlinear Euler equations have found a tendency for the method to go unstable. Even so, in light of the method's computational efficiency and high accuracy, finding a robust and stable implementation is …
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