Variational Multiscale Method in Julia for Airfoils Simulations

Explore a conference talk demonstrating the implementation of the Variational Multiscale Method in Julia for airfoil simulations using the Gridap ecosystem. Learn how to solve Navier Stokes equations through finite element method with same-order interpolation elements, leveraging distributed architecture capabilities. Discover the advantages of Julia's syntax that allows writing equations in a format closely resembling mathematical notation, and understand how the implementation handles non-linear, time-dependent problems with both strong and weak scaling. Examine the application of implicit LES on transitional airfoils with Reynolds numbers up to 500,000, validated using the sd7003 airfoil and experimental results. Gain insights into the implementation of continuous unsteady adjoint through accessible PDEs, and see how the computation process is optimized using a linearized version solved with PETSc.