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...

Полное описание

Библиографические подробности
Главный автор:	Giles, M
Формат:	Report
Опубликовано:	Unspecified 1995

Схожие документы

VALIDITY OF LINEARIZED UNSTEADY EULER EQUATIONS WITH SHOCK CAPTURING
по: Lindquist, D, и др.
Опубликовано: (1994)

Analytic Adjoint Solutions for the Quasi-1D Euler Equations
по: Giles, M, и др.
Опубликовано: (2000)

Steady transonic shocks and free boundary problems for the Euler equations in infinite cylinders
по: Chen, G, и др.
Опубликовано: (2004)

Analytic adjoint solutions for the quasi-one-dimensional Euler equations
по: Giles, M, и др.
Опубликовано: (2001)

LOCAL UNIQUENESS OF STEADY SPHERICAL TRANSONIC SHOCK-FRONTS FOR THE THREE DIMENSIONAL FULL EULER EQUATIONS
по: Chen, G, и др.
Опубликовано: (2013)

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

Shock Equations and Jump Conditions for the 2D Adjoint Euler Equations
по: Carlos Lozano, и др.
Опубликовано: (2023-03-01)

Incompressible limit of solutions of multidimensional steady compressible Euler equations
по: Chen, G, и др.
Опубликовано: (2016)

Euler equations, subjective expectations and income shocks
по: Kovacs, A, и др.
Опубликовано: (2017)

On a Quasi-Neutral Approximation to the Incompressible Euler Equations
по: Jianwei Yang, и др.
Опубликовано: (2012-01-01)

On a degenerate hyperbolic problem for the 3-D steady full Euler equations with axial-symmetry
по: Hu Yanbo, и др.
Опубликовано: (2020-10-01)

NONREFLECTING BOUNDARY-CONDITIONS FOR EULER EQUATION CALCULATIONS
по: Giles, M
Опубликовано: (1990)

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

Stability analysis of preconditioned approximations of the Euler equations on unstructuctured meshes
по: Moinier, P, и др.
Опубликовано: (2001)

Stability analysis of preconditioned approximations of the Euler equations on unstructured meshes
по: Moinier, P, и др.
Опубликовано: (2002)

Stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow
по: Chen, G, и др.
Опубликовано: (2018)

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

GLOBAL STEADY SUBSONIC FLOWS THROUGH INFINITELY LONG NOZZLES FOR THE FULL EULER EQUATIONS
по: Chen, G, и др.
Опубликовано: (2012)

Transonic flows with shocks past curved wedges for the full Euler equations
по: Chen, GQ, и др.
Опубликовано: (2016)

Eigenmode analysis of boundary conditions for the one-dimensional preconditioned Euler equations
по: Darmofal, D, и др.
Опубликовано: (2000)

Eigenmode Analysis of Boundary Conditions for the One-Dimensional Preconditioned Euler Equations
по: Darmofal, D, и др.
Опубликовано: (2000)

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

Improved lift and drag estimates using adjoint Euler equations
по: Giles, M, и др.
Опубликовано: (2000)

Some quasi-analytical solutions for propagative waves in free surface Euler equations
по: Bristeau, Marie-Odile, и др.
Опубликовано: (2021-01-01)

Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles
по: Chen, G, и др.
Опубликовано: (2007)

A brief review on the convergence to steady state solutions of Euler equations with high-order WENO schemes
по: Shuhai Zhang, и др.
Опубликовано: (2019-07-01)

Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow
по: Chen, G-Q, и др.
Опубликовано: (2020)

Critical thresholds in 1D Euler equations with non-local forces
по: Antonio Carrillo de la Plata, JA, и др.
Опубликовано: (2015)

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

NUMERICAL SOLUTION OF 2-D EULER EQUATIONS WITH MULTIGRID
по: Murat Uygun, и др.
Опубликовано: (2007-01-01)

Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation
по: Steven J. Eppell, и др.
Опубликовано: (2016-03-01)

A Nonlinear Analysis of the Averaged Euler Equations
по: Holm, D, и др.
Опубликовано: (1999)

Compressible Euler-Maxwell equations
по: Chen, G, и др.
Опубликовано: (2000)

The anisotropic averaged Euler equations
по: Marsden, J, и др.
Опубликовано: (2000)

On Approximate Euler Differential Equations
по: Soon-Mo Jung, и др.
Опубликовано: (2009-01-01)

Convergence of a Singular Euler-Maxwell Approximation of the Incompressible Euler Equations
по: Jianwei Yang, и др.
Опубликовано: (2011-01-01)

Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows
по: Chen, G, и др.
Опубликовано: (2013)

On the Blowup for the 3D Axisymmetric Incompressible Chemotaxis-Euler Equations
по: Shangyong An, и др.
Опубликовано: (2021-01-01)

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

Convergence towards High-Speed Steady States Using High-Order Accurate Shock-Capturing Schemes
по: Juan C. Assis, и др.
Опубликовано: (2024-06-01)