Debugging Numerical Instability in AVX512-Optimized 2D Fluid Simulation on x86-64 CPU
In the process of me optimizing a 2D fluid simulation for x86-64 CPU using AVX512 instructions, Intel Xeon architecture , scalable processor with AVX512 support, GCC 12 compiler with
Here is my AVX512 optimized force calculation kernel
-O3 optimization flags having periodic boundary conditions using explicit euler time stepping s heme I've implemented a staggered grid-based approach with a finite difference method for calculating fluid forces, but I'm encountering numerical instability issues when simulating large-scale fluid dynamics.Here is my AVX512 optimized force calculation kernel
Solution
@Marvee Amasi It sounds like you're running into stability issues with your fluid simulation, especially with the explicit
r-check your periodic boundary conditions for errors, and be cautious with
To debug, simplify your simulation or use tools like
Euler scheme on a large grids, to address the numerical instability, try reducing the time step or switching to a more stable method like implicit Euler. Make sure your time step meets the CFL condition to avoid instability.r-check your periodic boundary conditions for errors, and be cautious with
AVX512 optimizations, as they can amplify floating-point precision issues. The Floating point exception could indicate division by zero or overflow, so make sure your calculations are well-guarded.To debug, simplify your simulation or use tools like
valgrind and gdb to catch errors. These steps should help stabilize your simulation.