Analysis of the accuracy of shock-capturing in the steady quasi-1D Euler equations

Analysis of the accuracy of shock-capturing in the steady quasi-1D Euler equations

Insight into the accuracy of steady shock-capturing CFD methods is obtained through analysis of a simple problem involving steady transonic flow in a quasi-1D diverging duct. It is proved that the discrete solution error on either side of the shock is $O(h^{n})$ where $n$ is the order of accuracy of...

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Bibliografiske detaljer
Hovedforfatter:	Giles, M
Format:	Report
Udgivet:	Unspecified 1995

Lignende værker

VALIDITY OF LINEARIZED UNSTEADY EULER EQUATIONS WITH SHOCK CAPTURING
af: Lindquist, D, et al.
Udgivet: (1994)

Analytic Adjoint Solutions for the Quasi-1D Euler Equations
af: Giles, M, et al.
Udgivet: (2000)

Steady transonic shocks and free boundary problems for the Euler equations in infinite cylinders
af: Chen, G, et al.
Udgivet: (2004)

Analytic adjoint solutions for the quasi-one-dimensional Euler equations
af: Giles, M, et al.
Udgivet: (2001)

LOCAL UNIQUENESS OF STEADY SPHERICAL TRANSONIC SHOCK-FRONTS FOR THE THREE DIMENSIONAL FULL EULER EQUATIONS
af: Chen, G, et al.
Udgivet: (2013)

Computation of unsteady transonic flowfields using shock capturing and the linear perturbation Euler equations
af: Lindquist, Dana Rae
Udgivet: (2005)

Shock Equations and Jump Conditions for the 2D Adjoint Euler Equations
af: Carlos Lozano, et al.
Udgivet: (2023-03-01)

Incompressible limit of solutions of multidimensional steady compressible Euler equations
af: Chen, G, et al.
Udgivet: (2016)

Euler equations, subjective expectations and income shocks
af: Kovacs, A, et al.
Udgivet: (2017)

On a Quasi-Neutral Approximation to the Incompressible Euler Equations
af: Jianwei Yang, et al.
Udgivet: (2012-01-01)

On a degenerate hyperbolic problem for the 3-D steady full Euler equations with axial-symmetry
af: Hu Yanbo, et al.
Udgivet: (2020-10-01)

NONREFLECTING BOUNDARY-CONDITIONS FOR EULER EQUATION CALCULATIONS
af: Giles, M
Udgivet: (1990)

Quasi-periodic non-stationary solutions of 3D Euler equations for incompressible flow
af: Sergey V. Ershkov
Udgivet: (2015-10-01)

Stability analysis of preconditioned approximations of the Euler equations on unstructuctured meshes
af: Moinier, P, et al.
Udgivet: (2001)

Stability analysis of preconditioned approximations of the Euler equations on unstructured meshes
af: Moinier, P, et al.
Udgivet: (2002)

Stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow
af: Chen, G, et al.
Udgivet: (2018)

Adaptive finite element solutions of the steady Euler equations using a sensitivity approach
af: Haq, Imran, 1971-
Udgivet: (2010)

GLOBAL STEADY SUBSONIC FLOWS THROUGH INFINITELY LONG NOZZLES FOR THE FULL EULER EQUATIONS
af: Chen, G, et al.
Udgivet: (2012)

Transonic flows with shocks past curved wedges for the full Euler equations
af: Chen, GQ, et al.
Udgivet: (2016)

Eigenmode analysis of boundary conditions for the one-dimensional preconditioned Euler equations
af: Darmofal, D, et al.
Udgivet: (2000)

Eigenmode Analysis of Boundary Conditions for the One-Dimensional Preconditioned Euler Equations
af: Darmofal, D, et al.
Udgivet: (2000)

Shock formation in solutions to the 2D compressible Euler equations in the presence of non-zero vorticity
af: Speck, Jared R.
Udgivet: (2020)

Improved lift and drag estimates using adjoint Euler equations
af: Giles, M, et al.
Udgivet: (2000)

Some quasi-analytical solutions for propagative waves in free surface Euler equations
af: Bristeau, Marie-Odile, et al.
Udgivet: (2021-01-01)

Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles
af: Chen, G, et al.
Udgivet: (2007)

A brief review on the convergence to steady state solutions of Euler equations with high-order WENO schemes
af: Shuhai Zhang, et al.
Udgivet: (2019-07-01)

Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow
af: Chen, G-Q, et al.
Udgivet: (2020)

Critical thresholds in 1D Euler equations with non-local forces
af: Antonio Carrillo de la Plata, JA, et al.
Udgivet: (2015)

Rough solutions of the 3-D compressible Euler equations
af: Wang, Q
Udgivet: (2022)

NUMERICAL SOLUTION OF 2-D EULER EQUATIONS WITH MULTIGRID
af: Murat Uygun, et al.
Udgivet: (2007-01-01)

Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation
af: Steven J. Eppell, et al.
Udgivet: (2016-03-01)

A Nonlinear Analysis of the Averaged Euler Equations
af: Holm, D, et al.
Udgivet: (1999)

Compressible Euler-Maxwell equations
af: Chen, G, et al.
Udgivet: (2000)

The anisotropic averaged Euler equations
af: Marsden, J, et al.
Udgivet: (2000)

On Approximate Euler Differential Equations
af: Soon-Mo Jung, et al.
Udgivet: (2009-01-01)

Convergence of a Singular Euler-Maxwell Approximation of the Incompressible Euler Equations
af: Jianwei Yang, et al.
Udgivet: (2011-01-01)

Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows
af: Chen, G, et al.
Udgivet: (2013)

On the Blowup for the 3D Axisymmetric Incompressible Chemotaxis-Euler Equations
af: Shangyong An, et al.
Udgivet: (2021-01-01)

On the use of Runge-Kutta time-marching and multigrid for the solution of steady adjoint equations
af: Giles, M
Udgivet: (2000)

Convergence towards High-Speed Steady States Using High-Order Accurate Shock-Capturing Schemes
af: Juan C. Assis, et al.
Udgivet: (2024-06-01)