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In this work, we present an optimization strategy for implementing the BiCGStab iterative solver on graphic processing units (GPU) for computing incompressible viscous flows governed by the unsteady Navier–Stokes (N–S) equations on a CUDA platform. A recently developed $$\psi $$ ψ –v formulation is used to discretize the biharmonic form of the N–S equation. Special emphasis was given on optimizing...