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math.NA2026
Solving the Incompressible Navier-Stokes Equations on Oriented Curved Surfaces Discretized by Point Clouds
Alejandra Foggia, Ivo F. Sbalzarini
We present a meshfree numerical solver for the incompressible Navier-Stokes equations on oriented curved surfaces that are represented by surface point clouds. On curved surfaces,…
math.NA2022★ 2 cited
A meshfree collocation scheme for surface differential operators on point clouds
Abhinav Singh, Alejandra Foggia, Pietro Incardona +1
We present a meshfree collocation scheme to discretize intrinsic surface differential operators over scalar fields on smooth curved surfaces with given normal vectors and a non-int…