Efficient calculation of aerodynamic forces in particle vortex methods with application to bluff body aerodynamics




Greater Copenhagen area

Derivation of formulas for fluid forces in vortex particle methods.

The Discrete Vortex Method (DVM) is a Particle Method that describes the governing Navier-Stokes equations in Lagrangian form. The flow field is discretized using particles that carry circulation (Gamma) and created through the satisfaction of the no-slip boundary condition. Hence the number of particle (N) increase during the simulation. The position of the particles change as the particles 'go with the flow'. The particle velocity in turn is obtained from the solution of a Poisson equation (or corresponding Biot-Savart relation) that governs the kinematics of the problem. The aerodynamic forces are obtained through the rate of change of the moments of the vorticity field. Currently, the moment is computed by a summation that includes all N particles and the goal of the project is to reduce this summation to account for the particle dynamics in the vicinity of the solid surface.

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Technical University of Denmark

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