A Characteristic-Based Volume Penalization Method for Arbitrary Mach Flows Around Solid Obstacles

An improved characteristic based volume penalization method for the Euler equations towards icing applications

“…The slip wall boundary condition is achieved by penalization of the normal velocity component (on the momentum equation). For aerodynamics, only one application is found in the literature where the Euler equations are penalized [15] using the method of [13].…”

“…In this paper, the Characteristic-Based Volume Penalization (CBVP) of [13,15] is applied to the Euler equations in an alternative way. Our approach uses a different set of boundary conditions inspired by [16] where the conservation of entropy and total enthalpy in the normal direction are applied.…”

“…The penalization methods are presented in 2D but their extension to 3D does not present any new difficulty as the evaluation of the curvature in 3D (a key element of the method) has already been treated in the literature [20,15].…”

“…Section 4 is dedicated to the description of the penalization method. More precisely, the penalization method of [13] and its application to the Euler equations [15] is discussed. Then the development of the new penalization method is presented along with implementation details for a Finite Volume Method.…”

A Penalization Method for Eulerian Droplet Impingement Simulations towards Icing Applications

“…The penalization method was applied to incompressible Navier-Stokes equations [14,15] and extended to compressible flows [16][17][18]. A variant of the penalization method, the Characteristic-Based Volume Penalization, was developed by [19] and applied to the Navier-Stokes and Euler equations [6,20].…”