Automatic Adaptive Grid Refinement for the Euler Equations
Automatic Adaptive Grid Refinement for the Euler Equations
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In our eReader you can find the full English version of the book. Read Automatic Adaptive Grid Refinement for the Euler Equations Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Automatic Adaptive Grid Refinement for the Euler Equations
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The solution is computed over the entire coarse grid including these points when a coarse grid integration step is taken. However, the coarse grid points under- neath the fine grid are updated after each coarse step by replacing the solution there with the volume weighted average of the solution at the four nearest fine points. The final output uses the values from the finest grid covering each region.
To take a step on the fine grid, the flux across the line | = into the fine grid must be calc...ulated. It is algorithmically advantageous to introduce an "outside" column of solution vjilues (denoted by the plus signs in figure 3. 1). The flux can then be calculated in the same way for the first cell and the interior cells of the fine grid. This also mimics the coarse grid setup, where an extra column is kept on each side of the periodic boundary. The easiest way to determine this column of fine grid values is by interpolation from the coarse grid. Point p would be set by linear interpolation from coarse grid points v, j, v, j+i, v, +ij, v, +ij+i.
What to read after Automatic Adaptive Grid Refinement for the Euler Equations?
You can find similar books in the "Read Also" column, or choose other free books by Marsha J Berger to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The solution is computed over the entire coarse grid including these points when a coarse grid integration step is taken. However, the coarse grid points under- neath the fine grid are updated after each coarse step by replacing the solution there with the volume weighted average of the solution at the four nearest fine points. The final output uses the values from the finest grid covering each region.
To take a step on the fine grid, the flux across the line | = into the fine grid must be calc...ulated. It is algorithmically advantageous to introduce an "outside" column of solution vjilues (denoted by the plus signs in figure 3. 1). The flux can then be calculated in the same way for the first cell and the interior cells of the fine grid. This also mimics the coarse grid setup, where an extra column is kept on each side of the periodic boundary. The easiest way to determine this column of fine grid values is by interpolation from the coarse grid. Point p would be set by linear interpolation from coarse grid points v, j, v, j+i, v, +ij, v, +ij+i.
What to read after Automatic Adaptive Grid Refinement for the Euler Equations?
You can find similar books in the "Read Also" column, or choose other free books by Marsha J Berger to read onlineMoreLess
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