Integration of barotropic vorticity equation over spherical geodesic grid using multilevel adaptive wavelet collocation method

DOI10.1016/j.apm.2012.10.027zbMath1426.86001OpenAlexW2129886041MaRDI QIDQ1667811

Ratikanta Behera, Mani Mehra

Publication date: 30 August 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.10.027

zbMATH Keywords

waveletsmultilevel methodsbarotropic equation

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Computational methods for problems pertaining to geophysics (86-08)

Related Items (4)

Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost ⋮ Approximation of the differential operators on an adaptive spherical geodesic grid using spherical wavelets ⋮ An Adaptive Wavelet Collocation Method for Solution of the Convection-Dominated Problem on a Sphere ⋮ Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid

Uses Software

• chammp

Cites Work

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• An adaptive multilevel wavelet collocation method for elliptic problems
• On numerical solution of the shallow water equations with chemical reactions on icosahedral geodesic grid
• An adaptive wavelet collocation method for the solution of partial differential equations on the sphere
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Wavelet Methods in Computational Fluid Dynamics
• Fast wavelet transforms and numerical algorithms I
• A high-order element-based Galerkin method for the barotropic vorticity equation
• An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid
• Interactions of isolated vortices I: Modons colliding with modons
• Ten Lectures on Wavelets
• On the linear stability study of zonal incompressible flows on a sphere
• The Lifting Scheme: A Construction of Second Generation Wavelets
• Solving Multi-dimensional Evolution Problems with Localized Structures using Second Generation Wavelets
• DISCRETE LAPLACE–BELTRAMI OPERATOR ON SPHERE AND OPTIMAL SPHERICAL TRIANGULATIONS
• An Adaptive Wavelet Collocation Method for Fluid-Structure Interaction at High Reynolds Numbers
• Second-generation wavelet collocation method for the solution of partial differential equations

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