We approximate a manifold triangulation in IR using smooth implicit algebraic surface patches, which we call A-patches. Here each A-patch is a real iso-contour of a trivariate rational function de ned within a tetrahedron. The rational trivariate function provides increased degrees of freedom so that the number of surface patches needed for free-form shape modeling is signi cantly reduced compa...

Variational formulations of three fourth order geometric partial differential equations are derived, and based on which mixed finite element methods are presented for constructing G smooth B-spline surfaces. Solutions to several surface modeling problems, including surface fairing, free-form surface design, surface blending and hole filling with G continuity, are handled by this approach. Exper...

We approximate a manifold triangulation in R3 using smooth implicit algebraic surface patches, which we call A-patches. Here each A-patch is a real iso-contour of a trivariate rational function defined within a tetrahedron. The rational trivariate function provides increased degrees of freedom so that the number of surface patches needed for free-form shape modeling is significantly reduced com...

‎The water wave generation by wave paddle and a freely falling rigid body are examined by using an Incompressible Smoothed Particle Hydrodynamics (ISPH)‎. ‎In the current ISPH method‎, ‎the pressure was evaluated by solving pressure Poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure Poisson equation contains both of divergence free ve...

a multi-objective optimization procedure has been developed to determine some kinetic parameters of free radical polymerization of vinyl acetate based on genetic algorithm. for this purpose, mathematical modeling of free radical polymerization of vinyl acetate is carried out first and then selected kinetic parameters are optimized by minimizing objective functions defined from comparing experim...

this paper was aimed to address the modeling of effective thermal conductivity and viscosity of carbon structured nanofluids. response surface methodology, d_optimal design (dod) was employed to assess the main and interactive effects of temperature (t) and weight percentage (wt %) to model effective thermal conductivity and viscosity of multi wall and single wall carbon nanotube, cvd and rgo g...