DISCRETIZATION CORRECTION OF PARTICLE STRENGTH EXCHANGE (DC PSE) USING STRONG FORM FORMULATION FOR VORTEX MERGING SIMULATIONS

• Main Author: Pristiansyah, Adhika
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/33367
• Institution: Institut Teknologi Bandung

Computational fluid dynamics has been used in incompressible flows problems. In term of discretization, mesh-dependent methods has widely used (e.g., FVM, FEM, FD). Numerical methods such as FVM, FEM, and FD method were orig- inally defined on meshes of data points. However, during simulation where the material can move around, mesh-dependent methods will be not as accurate as before since the connectivity between mesh are degenerate. A mesh-free dis- cretization methods does not depends on mesh connectivity since it is defined by a set of particles. Therefore, the problem that arises when using mesh-dependent method can be properly solved. An example for mesh-free methods is Lagrangian particle methods (LPM) for vortex methods. In vortex particle methods (VPM) discretization, two main error will arise. Main error are mollification error and discretization error. Recently, discretization cor- rection (DC) operators (i.e., for particle strength exchange (PSE)) has been pro- posed to circumvent the discretization error. There are two formulation of DC operators: strong-form and weak-form. In the other hand, a PSE operators has been used widely in vortex methods dynamic . One of example is PSE opera- tors in vortex merging. Vortex merging has been used to understand turbulent mechanics in low-medium Reynolds number. While in this report, a strong-form formulation of DC PSE operators for vortex merging simulations is used. From simulations that have been performed, DC PSE operators yield the same result as PSE operators did. Also, the corresponding energy spectra yields a similar result with the single Burgers vortices model.