Enriched numerical scheme for singularly perturbed barotropic quasi-geostrophic equations
type: Item
instance of: scholarly article
title: Enriched numerical scheme for singularly perturbed barotropic quasi-geostrophic equations
zbMATH Open document ID: 1437.65209
author: Mickaël D. Chekroun
author: Youngjoon Hong
author: R. Temam
published in: Journal of Computational Physics
publication date: 2020-07-21T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 86A08
zbMATH DE Number: 7223976
zbMATH Keywords: quasigeostrophic equations
zbMATH Keywords: spectral method
zbMATH Keywords: enriched numerical method
zbMATH Keywords: Munk-Stommel model
zbMATH Keywords: boundary layer
zbMATH Keywords: western boundary currents
MaRDI profile type: Publication
full work available at URL: j.jcp.2020.109493
OpenAlex ID: W3022800710
cites work: Climate dynamics and fluid mechanics: Natural variability and related uncertainties
cites work: Atmospheric and Oceanic Fluid Dynamics
cites work: Q3116506
cites work: Q3859436
cites work: Singular perturbations and boundary layers
cites work: Q4749153
cites work: Q3750941
cites work: Survey of meshless and generalized finite element methods: A unified approach
cites work: New approximation algorithms for a class of partial differential equations displaying boundary layer behavior
cites work: Numerical approximation of one-dimensional stationary diffusion equations with boundary layers
cites work: On parabolic boundary layers for convection-diffusion equations in a channel: Analysis and numerical applications
cites work: Finite volume approximation of one-dimensional stiff convection-diffusion equations
cites work: On the numerical approximations of stiff convection-diffusion equations in a circle
cites work: Singular perturbation analysis of time dependent convection-diffusion equations in a circle
cites work: A Nonconforming Generalized Finite Element Method for Transmission Problems
cites work: A finite element method for crack growth without remeshing
cites work: Tailored finite point method for steady-state reaction-diffusion equations
cites work: Tailored finite point method based on exponential bases for convection-diffusion-reaction equation
cites work: Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem
cites work: Pointwise error estimates for a streamline diffusion scheme on a Shishkin mesh for a convection-diffusion problem
cites work: On the Homogeneous Model of Wind-Driven Ocean Circulation
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
cites work: On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
cites work: A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
cites work: Q4693060
cites work: A finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the Ocean
cites work: A comparison of two numerical methods for integrating a quasi-geostrophic multilayer model of ocean circulations: Finite element and finite difference methods
cites work: Stable and accurate pressure approximation for unsteady incompressible viscous flow
cites work: Recent developments in the pure streamfunction formulation of the Navier-Stokes system
cites work: A rational spectral collocation method for solving a class of parameterized singular perturbation problems
cites work: Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems
cites work: Hybrid spectral element/asymptotic method for boundary layers problems
cites work: Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
cites work: A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points
cites work: Q3616029
cites work: Boundary layer solutions to functional elliptic equations
cites work: Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point
cites work: Analysis of mixed elliptic and parabolic boundary layers with corners
cites work: Enriched spectral method for stiff convection-dominated equations
cites work: Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
cites work: Spectral Methods
cites work: Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory, and climate dynamics
cites work: Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions
DOI: 10.1016/J.JCP.2020.109493
description: scientific article; zbMATH DE number 7223976