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January 28, 2020, 01:56
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MacCormack scheme
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#1 |
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Member
E
Join Date: Mar 2018
Posts: 77
Rep Power: 8  |
Hello to everyone,
Am I allowed to use the following form of the two-step MacCormack scheme? i.e. may I descretize the spatial derivative at the corrector step in k iteration level and not in the intermediate stage? where k is the present iteration level, the variables with one (*) and two (**) asterisks denote the intermediate values of variables and i is the spatial node. Thank you. Last edited by IbizaFR; January 28, 2020 at 09:57. |
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January 30, 2020, 10:32
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#2 |
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Member
E
Join Date: Mar 2018
Posts: 77
Rep Power: 8 |
Any help?
Thank you. |
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January 30, 2020, 11:50
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#3 | |
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Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,849
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Quote:
The MacCormack method in case of a linear equation corresponds to the Lax-Wendroff method. However, the steps are: 1) Q*(i) =Qn(i) -(dt/h)*[f[Qn(i+1)] - f[(Qn(i)] 2) Q**(i)=Q*(i) -(dt/h)*[f[Q*(i)] - f[(Q*(i-1)] 3) Qn+1(i)= 0.5*[Q**(i)+Qn(i)] |
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January 31, 2020, 08:18
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#4 | |
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Member
E
Join Date: Mar 2018
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Quote:
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Linear Mode
