- A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence
2021/09/22 by Rami Masri, Chen Liu, Masri, Rami +3 · 1 citation
Engineering · Mathematics · #A priori and a posteriori #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Compressibility #Computational Fluid Dynamics and Aerodynamics #Computer science #Convergence (economics) #Discontinuous Galerkin method #FOS: Mathematics #Finite element method #Galerkin method #Mathematical analysis #Mathematics #Mechanics #Navier–Stokes equations #Numerical Analysis (math.NA) #Numerical analysis #Numerical methods for differential equations #Numerical stability #Physics #Pressure-correction method #Rate of convergence #Scheme (mathematics) #Stability (learning theory)
- NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations
2020/11/01 by Xiaowei Jin, Shengze Cai, Hui Li +1 · 119 citations
Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Artificial neural network #Classical mechanics #Compressibility #Computer science #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Hagen–Poiseuille flow from the Navier–Stokes equations #Incompressible flow #Mathematics #Mechanics #Model Reduction and Neural Networks #Navier–Stokes equations #Nuclear Engineering Thermal-Hydraulics #Physics #Pressure-correction method
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
1984/06/01 by Anthony T. Patera, Anthony T Patera · 59 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Collocation (remote sensing) #Computational Fluid Dynamics and Aerodynamics #Computer science #Discretization #Finite element method #Fluid Dynamics and Turbulent Flows #Geometry #Laminar flow #Mathematical analysis #Mathematics #Mechanics #Mixed finite element method #Physics #Pressure-correction method #Projection method #Spectral element method #Spectral method