Show/Hide Menu
Hide/Show Apps
anonymousUser
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Frequently Asked Questions
Frequently Asked Questions
Communities & Collections
Communities & Collections
Spectral (h-p) element methods approach to the solution of Poisson and Helmholtz equations using Matlab
Download
index.pdf
Date
2006
Author
Maral, Tuğrul
Metadata
Show full item record
Item Usage Stats
4
views
3
downloads
A spectral element solver program using MATLAB is written for the solution of Poisson and Helmholtz equations. The accuracy of spectral methods (p-type high order) and the geometric flexibility of the low-order h-type finite elements are combined in spectral element methods. Rectangular elements are used to solve Poisson and Helmholtz equations with Dirichlet and Neumann boundary conditions which are homogeneous or non homogeneous. Robin (mixed) boundary conditions are also implemented. Poisson equation is also solved by discretising the domain with curvilinear quadrilateral elements so that the accuracy of both isoparametric quadrilateral and rectangular element stiffness matrices and element mass matrices are tested. Quadrilateral elements are used to obtain the stream functions of the inviscid flow around a cylinder problem. Nonhomogeneous Neumann boundary conditions are imposed to the quadrilateral element stiffness matrix to solve the velocity potentials.
Subject Keywords
Numerical Analysis.
,
Mechanical Engineering.
URI
http://etd.lib.metu.edu.tr/upload/3/12607945/index.pdf
https://hdl.handle.net/11511/16114
Collections
Graduate School of Natural and Applied Sciences, Thesis