Front Tracking for Gas Dynamics
Front Tracking for Gas Dynamics
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In our eReader you can find the full English version of the book. Read Front Tracking for Gas Dynamics 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 Front Tracking for Gas Dynamics
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To quickly assess the difficulty of the text, read a short excerpt:
The corresponding difference equations are and 2Cr - "r - -y-1 + "Ir = Cj. + c 2-y ^(^.
-s^).
-y-1 Sr = s^.
Si- ^2/ . V^ = V2r.
V, = V2/.
2ci •y-1 + «/- 2^3/ •y-1 • — "3 = Ci + c 2-» ^(^, - ^3/).
(4. 18) where the subscripts / and r refer to left and right values, respectively, at time /q + ^t, while the subscripts Ir and 2r refer to values at the feet of the right \i and X2 characteris- tics at time /q, and the subscripts 2/ and 3/ refer to values at the feet of the left X2 and X3 characterist...ics at time /q (see Fig. 3). These states at the feet of the characteristics arc obtained by linear interpolation in the same fashion as described for shock waves. In addition to the characteristic equations we have the Rankine-Hugoniot conditions that u/ = u^ and pi = Pr for a contact. By solving these equations we obtain an approximate solution to the normal equations that is correct at the front through order A/. The propa- gation speed of the contact is calculated, as for shocks, by averaging the speeds at time /q -17- and at time Iq + A/.
What to read after Front Tracking for Gas Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by I L Chern to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The corresponding difference equations are and 2Cr - "r - -y-1 + "Ir = Cj. + c 2-y ^(^.
-s^).
-y-1 Sr = s^.
Si- ^2/ . V^ = V2r.
V, = V2/.
2ci •y-1 + «/- 2^3/ •y-1 • — "3 = Ci + c 2-» ^(^, - ^3/).
(4. 18) where the subscripts / and r refer to left and right values, respectively, at time /q + ^t, while the subscripts Ir and 2r refer to values at the feet of the right \i and X2 characteris- tics at time /q, and the subscripts 2/ and 3/ refer to values at the feet of the left X2 and X3 characterist...ics at time /q (see Fig. 3). These states at the feet of the characteristics arc obtained by linear interpolation in the same fashion as described for shock waves. In addition to the characteristic equations we have the Rankine-Hugoniot conditions that u/ = u^ and pi = Pr for a contact. By solving these equations we obtain an approximate solution to the normal equations that is correct at the front through order A/. The propa- gation speed of the contact is calculated, as for shocks, by averaging the speeds at time /q -17- and at time Iq + A/.
What to read after Front Tracking for Gas Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by I L Chern to read onlineMoreLess
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