Efficient Eigenvalue Bounding for CFD Time-Stepping
Analysis
This paper addresses the challenge of efficient time-step determination in Computational Fluid Dynamics (CFD) simulations, particularly for explicit temporal schemes. The authors propose a new method for bounding eigenvalues of convective and diffusive matrices, crucial for the Courant-Friedrichs-Lewy (CFL) condition, which governs time-step size. The key contribution is a computationally inexpensive method that avoids reconstructing time-dependent matrices, promoting code portability and maintainability across different supercomputing platforms. The paper's significance lies in its potential to improve the efficiency and portability of CFD codes by enabling larger time-steps and simplifying implementation.
Key Takeaways
“The method just relies on a sparse-matrix vector product where only vectors change on time.”