Steady shock tracking and Newton's method applied to one-dimensional duct flow
From MaRDI portal
Publication:1156608
DOI10.1016/0021-9991(81)90157-1zbMath0468.76061OpenAlexW2007947736MaRDI QIDQ1156608
Gregory R. Shubin, A. B. Stephens, Harland M. Glaz
Publication date: 1981
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(81)90157-1
Newton's methodsteadyshock trackingvariable area ductone-dimensional duct flowspace-time characteristics
Shock waves and blast waves in fluid mechanics (76L05) General aerodynamics and subsonic flows (76G25) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (22)
The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow ⋮ Implicit shock tracking for unsteady flows by the method of lines ⋮ A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows ⋮ A conservative, piecewise-steady difference scheme for transonic nozzle flow ⋮ Implicit total variation diminishing (TVD) schemes for steady-state calculations ⋮ A space-time high-order implicit shock tracking method for shock-dominated unsteady flows ⋮ Adaptive harmonic balance method for nonlinear time-periodic flows. ⋮ Implementation of high-order compact finite-difference method to parabolized Navier-Stokes schemes ⋮ Fully implicit shock tracking ⋮ Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I: The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics ⋮ A comparison of optimization-based approaches for a model computational aerodynamics design problem ⋮ Viscous standing asymptotic states of isentropic compressible flows through a nozzle ⋮ An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions ⋮ Calculation of shocked one-dimensional flows on abruptly changing grids by mathematical programming ⋮ Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method ⋮ Convergence study of an implicit multidomain approximation for the compressible Euler equations ⋮ Inviscid and viscous stationary waves of gas flow through contracting-expanding nozzles ⋮ High-order implicit shock tracking (HOIST) ⋮ Exponentially derived switching schemes for inviscid flow ⋮ A two-point difference scheme for computing steady-state solutions to the conservative one-dimensional Euler equations ⋮ A generalized Riemann problem for quasi-one-dimensional gas flows ⋮ Metric-discontinuous zonal grid calculations using the Osher scheme
Cites Work
- Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms
- Newton's method with mesh refinements for numerical solution of nonlinear two-point boundary value problems
- On finite-difference approximations and entropy conditions for shocks
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Unnamed Item
- Unnamed Item
This page was built for publication: Steady shock tracking and Newton's method applied to one-dimensional duct flow