Evaluation of a Spacetime Formulation of the Euler Equations

Autor: Edward Power, Christian B Allen, Thomas Rendall
Předmět:
Zdroj: University of Bristol-PURE
Popis: There are many attractions in using the spacetime method, such as the ability to handle arbitrary motion, including topological changes, the scope to use a variable real time step and the exact conservation properties that using a time mesh provides. The cost of using the spacetime method is larger in terms of memory and solution time, but it offers a totally periodic solution when converged. In this work the option of using a variable real timestep is explored, with the goal being to concentrate temporal resolution close to the regions of interest. This was carried out by generating prismatic spacetime meshes for a transonic pitching aerofoil, and solving using both a finite-volume time-marching and a spacetime method. Spacetime meshes were generated directly from the 2D time-marching meshes, and cells merged in the time direction to increase the local real timestep. This yielded an improvement in the time taken for solution of around 50%, without adversely affecting results.
Databáze: OpenAIRE