Nonuniform mesh with the numerical method of characteristics

Click For Summary
The discussion focuses on finding resources for implementing a nonuniform mesh with the numerical method of characteristics. Recommended books include "Modern Compressible Flow" by John D. Anderson and "Gas Dynamics" by James E.A. John and Theo G. Keith. The user is coding in Matlab and is uncertain about adjusting the fine mesh as characteristics move. Key advice highlights the importance of transitioning from the characteristic mesh, where values are exact, to the rectangular mesh, where values become approximate. The conversation concludes with an interest in reviewing the user's code upon completion.
kobjob
Messages
6
Reaction score
0
Could someone please direct me to a good book/article that describes how to use a coarse and fine spatial mesh with the numerical method of characteristics?
Thank you.
Kate
 
Physics news on Phys.org
The book Modern Compressible Flow: With Historical Perspective by John D. Anderson is good as well as Gas Dynamics by James E.A. John and Theo G. Keith.

What are you using to write your code? Fortran, matlab?
 
Thanks for your suggestions!

I'm using Matlab. I'm not sure how/if I should be moving the fine mesh as the characteristics move.

Thanks again,
Kate
 
The main thing with characteristics codes is calculating the actual points. You have a normal rectangular grid to begin with and then you have you characteristic mesh and you have to go from you characteristics mesh (where the values are exact) to your rectangular mesh where the values become approximate.

I wouldn't mind having a peek at your code when you're done.
 

Similar threads

Graduate Runge-Kutta: Maintaining Units in Numerical Methods
  • · Replies 16 ·
Replies
16
Views
3K
Undergrad The algorithms involved in finding a solution with numerical methods
  • · Replies 14 ·
Replies
14
Views
3K
Graduate Matrix Exponential to Approximate the Value of Matrizant
  • · Replies 2 ·
Replies
2
Views
2K
On the cusp of fully grasping Method of Characteristics
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Implicit Euler method with adaptive time step and step doubling
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Need help with Rodrigues formula example in Riley, Hobson, Bence - Mathematical Methods for Physics and Engineering 3rd edition
  • · Replies 4 ·
Replies
4
Views
2K
MCNP: mesh with weight window generator
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Lecture notes on Finite Difference Methods
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Numerically solving a transport equation
  • · Replies 3 ·
Replies
3
Views
3K
Pin-by-pin core simulations without spatial homogenization
  • · Replies 6 ·
Replies
6
Views
2K