1 / 11

EEE 431 Computational Methods in Electrodynamics

EEE 431 Computational Methods in Electrodynamics. Lecture 5 By Dr. Rasime Uyguroglu Rasime.uyguroglu@emu.edu.tr. FINITE DIFFERENCE METHODS (cont). Finite Difference Method. Solve the diffusion Equation (Parabolic D.E.) Subject to the boundary conditions: And initial condition.

rina-guthrie
Download Presentation

EEE 431 Computational Methods in Electrodynamics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. EEE 431Computational Methods in Electrodynamics Lecture 5 By Dr. Rasime Uyguroglu Rasime.uyguroglu@emu.edu.tr

  2. FINITE DIFFERENCE METHODS (cont).

  3. Finite Difference Method • Solve the diffusion Equation (Parabolic D.E.) • Subject to the boundary conditions: • And initial condition

  4. Finite Difference Method • Mathematical model of a temperature distribution of 1m long rod, with its ends in contacts with ice blocks which is initially at .

  5. Finite Difference Method • Using explicit method: • Solve the problem for since it is symmetric.

  6. Finite Difference Method

  7. Finite Difference Method • Implicit Method • Choose • The values at the fixed nodes are calculated as it is calculated in the implicit formulation.

  8. Finite Difference Method • For the free nodes we use the formula obtained :

  9. Finite Difference Method • The value of for the first time step:

  10. Finite Difference Method • Solution of 4 simultaneous equations gives the values of at t=0.04. • Using these values of and applying the same equation, a set of simultaneous equations can be obtained for t=0.08.

More Related