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Showing results 1 to 7 of 7 Search took 0.00 seconds. Search: Posts Made By: naffrancois

Forum: Main CFD Forum January 9, 2024, 03:55

Replies: 17 How to calculate and assemble a Jacobian matrix for Compressible Euler solver? Views: 1,012 Posted By naffrancois Well done ! Don't you reach lower residuals... Well done ! Don't you reach lower residuals for higher iteration count ? You may try to ramp up the CFL and see if your residual curve gets steeper. How do you solve the linear system ? Do you...

Forum: Main CFD Forum October 31, 2023, 05:43

Replies: 17 How to calculate and assemble a Jacobian matrix for Compressible Euler solver? Views: 1,012 Posted By naffrancois Consider the 1D time dependent 1st order... Consider the 1D time dependent 1st order spatial/temporal implicit FV form of the Euler equations: \Delta x \frac{\bar{\textbf{Q}}_i^{n+1}-\bar{\textbf{Q}}_i^{n}}{\Delta...

Forum: Main CFD Forum October 23, 2023, 10:37

Replies: 17 How to calculate and assemble a Jacobian matrix for Compressible Euler solver? Views: 1,012 Posted By naffrancois Hello, Well apart from the Blazek book I... Hello, Well apart from the Blazek book I mentionned above I do not have other detailed references. But given your last comments, I think you already got most of the ingredients needed. You...

Forum: Main CFD Forum October 22, 2023, 04:22

Replies: 17 How to calculate and assemble a Jacobian matrix for Compressible Euler solver? Views: 1,012 Posted By naffrancois Formulated an other way, on a practical side: ... Formulated an other way, on a practical side: If you loop through the faces of your mesh, on a face which separates control volumes i and j, with normal pointing from i to j, and assuming a first...

Forum: Main CFD Forum October 20, 2023, 12:17

Replies: 17 How to calculate and assemble a Jacobian matrix for Compressible Euler solver? Views: 1,012 Posted By naffrancois From the same author, you may find useful the... From the same author, you may find useful the fortran subroutines for the Roe flux differentiation. He also compares the analytical expressions with those obtained from automatic differentiation via...

Forum: Main CFD Forum October 19, 2023, 10:24

Replies: 17 How to calculate and assemble a Jacobian matrix for Compressible Euler solver? Views: 1,012 Posted By naffrancois For development purposes I often use formal... For development purposes I often use formal calculus softwares and their "ready to use" c or fortran export. I can't tell for such complicated functions, the resulting expressions may be very...

Forum: Main CFD Forum October 19, 2023, 08:44

Replies: 17 How to calculate and assemble a Jacobian matrix for Compressible Euler solver? Views: 1,012 Posted By naffrancois Hello, About doubt 1: Eq 3.23 and 3.24... Hello, About doubt 1: Eq 3.23 and 3.24 are the numerical flux derivatives, you have to differentiate the Roe flux of eq 3.4. Note that the first two terms of eq 3.4, are readily obtained...

Showing results 1 to 7 of 7

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