SR13  Mecânica dos Fluidos
 
 Titulo:
MULTIPOLE EXPANSION ALGORITHM APPLIED TO BIOT-SAVART CALCULATIONS OF PARTICLE INTERACTIONS
 
Resumo :
ABSTRACT. IN A SYSTEM OF N PARTICLES A DIRECT CALCULATION OF THE INTERACTION BETWEEN PARTICLES USING THE BIOT-SAVART LAW REQUIRES N2 OPERATIONS PER TIME STEP, WHEREAS THE PARTICLE-BOX SCHEME OF THE MULTIPOLE EXPANSION ALGORITHM REQUIRES ONLY NLOGN OPERATIONS. THE LATTER AL-GORITHM MAY BE USED TO CALCULATE THE CONVECTIVE MOTION OF DISCRETE VORTICES THAT MODEL THE VORTICITY IN A 2-D SIMULATION OF THE INCOMPRESSIBLE, UNSTEADY FLOW AROUND A BODY. IN THIS PA-PER WE STUDY THE MAIN NUMERICAL PARAMETERS THAT INFLUENCE THE PERFORMANCE OF THE (FASTER) MULTIPOLE EXPANSION ALGORITHM OF THE PARTICLE-BOX TYPE: THE NUMBER OF VORTICES, THE NUMBER OF BOXES AND THE NUMBER OF VORTICES PER BOX. WE EVALUATE THE SPEED-UP GAINED WITH THE PARTI-CLE-BOX SCHEME, AS WELL AS WE ASSESS THE ERRORS INVOLVED IN THE COMPUTATION OF THE INDUCED VELOCITIES COMPARED TO THE DIRECT VORTEX-VORTEX CALCULATION. KEYWORDS: VORTEX METHOD, MULTIPOLE, BIOT-SAVART LAW, NUMERICAL METHODS  
 
Autores :
Bodstein, Gustavo C.R.
Guedes, Vanessa Gonçalves
Hirata, Miguel Hiroo
 
 
Trabalho Completo :

 

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