A. KoomsubsiriD. SukawatS. TangmaneeKing Mongkuts University of Technology ThonburiMahidol University2018-10-192018-10-192013-04-24Applied Mathematical Sciences. Vol.7, No.49-52 (2013), 2421-24281312885X2-s2.0-84876383423https://repository.li.mahidol.ac.th/handle/123456789/32023A meshless method called smoothed particle hydrodynamics (SPH) was applied to a barotropic vorticity equation of the atmosphere to investigate its accuracy. The tensor product weight function for the SPH method was a quartic spline function. Results from the SPH approximation of the equation on a sphere showed that errors can occur near the boundary due to asymmetry of the weight function at the boundary. This problem was partially solved by using the ghost particle technique. © 2013 A. Koomsubsiri et al.Mahidol UniversityMathematicsArticleSCOPUS