Complete complex parabolic geometries (including projective connections and conformal connections) are flat and homogeneous.

In this paper, implementation of an extended form of a no-slip wall boundary condition is presented for the three-dimensional (3-D) lattice Boltzmann method (LBM) for solving the incompressible fluid flows with complex geometries. The boundary condition is based on the off-lattice scheme with a polynomial interpolation which is used to reconstruct the curved or irregular wall boundary on the ne...

We present results from our computational efforts to determine defect characteristics via solution of inverse problems which involve the 2D wave equation in a domain which presents geometric complexities. We develop a technique for determining “optimal” placement of a receiver based on the geometry of the interrogation problem which involves a plane wave pulse and single receiver. A forward sim...