A spectral element method for the time-dependent two-dimensional Euler equations: Applications to flow simulations

DOI10.1016/S0377-0427(98)00022-3zbMath0939.76076MaRDI QIDQ1298526

Chuanju Xu, Yvon Maday

Publication date: 12 July 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral element methoddomain decompositionvariational formulationincompressible Euler equationsinterface conditionsNavier-Stokes/Euler coupled modelwell-posed discrete problems

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

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A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints ⋮ Legendre spectral element method for solving Volterra-integro differential equations ⋮ Unnamed Item ⋮ Simulation of flows of viscoelastic fluids at high Weissenberg number using a filter-based stabilization of the spectral element method ⋮ Legendre spectral element method for solving sine-Gordon equation ⋮ A new Galerkin spectral element method for fourth-order boundary value problems ⋮ Stochastic optimization with adaptive restart: a framework for integrated local and global learning ⋮ Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation ⋮ \(hp\) spectral element approximation for integral state constrained optimal control problems governed by harmonic equations ⋮ A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint ⋮ A posteriori error estimates of \textit{hp} spectral element methods for integral state constrained elliptic optimal control problems ⋮ Numerical study of an inviscid incompressible flow through a channel of finite length

Cites Work

• A relaxation procedure for domain decomposition methods using finite elements
• Spectral approximation for elliptic boundary value problems
• An analysis of a mixed finite element method for the Navier-Stokes equations
• A self-adaptive formulation for the Euler/Navier-Stokes coupling
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