Semi Implicit Method for Mhd Computations Without An Alfven Wave Cfl Restriction
Semi Implicit Method for Mhd Computations Without An Alfven Wave Cfl Restriction
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In our eReader you can find the full English version of the book. Read Semi Implicit Method for Mhd Computations Without An Alfven Wave Cfl Restriction 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 Semi Implicit Method for Mhd Computations Without An Alfven Wave Cfl Restriction
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8 are plotted helical flux contours, showing the m = 2, n = 1 island near the saturation of linear growth. The time step may be increased further. However, very large time steps degrade the accuracy of the results. A time step of five Alfven transit times gives a substantially smaller growth rate for the instability, Y = 0. 0028, and the velocity and current profiles show a departure from the proper eigenfunctions.
-17- Therefore, for this method the primary limiting factor on the time step app...ears to be accuracy rather than stability. We also note for this case with 20 modes that the computation time required per time step is only 5% more than for an explicit advance, even though much larger time steps are permitted.
-18- IV. CONCLUSIONS A new semi-implicit method for solving the MHD equations in three dimensions has been developed. The method allows simulations to use very large time steps since both the shear Alfven and the fast compressional CFL conditions have been eliminated. The method is simple to implement.
What to read after Semi Implicit Method for Mhd Computations Without An Alfven Wave Cfl Restriction?
You can find similar books in the "Read Also" column, or choose other free books by Douglas S Harned to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
8 are plotted helical flux contours, showing the m = 2, n = 1 island near the saturation of linear growth. The time step may be increased further. However, very large time steps degrade the accuracy of the results. A time step of five Alfven transit times gives a substantially smaller growth rate for the instability, Y = 0. 0028, and the velocity and current profiles show a departure from the proper eigenfunctions.
-17- Therefore, for this method the primary limiting factor on the time step app...ears to be accuracy rather than stability. We also note for this case with 20 modes that the computation time required per time step is only 5% more than for an explicit advance, even though much larger time steps are permitted.
-18- IV. CONCLUSIONS A new semi-implicit method for solving the MHD equations in three dimensions has been developed. The method allows simulations to use very large time steps since both the shear Alfven and the fast compressional CFL conditions have been eliminated. The method is simple to implement.
What to read after Semi Implicit Method for Mhd Computations Without An Alfven Wave Cfl Restriction?
You can find similar books in the "Read Also" column, or choose other free books by Douglas S Harned to read onlineMoreLess
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