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Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method - MaRDI portal

Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method (Q2180431)

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English	Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method	scientific article

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scholarly article

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Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method (English)

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Mostafa Abbaszadeh

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Computer Methods in Applied Mechanics and Engineering

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publication date

14 May 2020

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zbMATH Keywords

RBF-FD procedure

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POD and DEIM ideas

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incompressible Navier-Stokes equation

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variable density

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local radial basis functions collocation method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2020.112914

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Interpolation in the limit of increasingly flat radial basis functions

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A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere

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Stabilization of RBF-generated finite difference methods for convective PDEs

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Stable calculation of Gaussian-based RBF-FD stencils

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The overlapped radial basis function-finite difference (RBF-FD) method: a generalization of RBF-FD

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Gaussian RBF-FD weights and its corresponding local truncation errors

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A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method

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Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation

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A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

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The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations

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The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations

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Meshless method for the stationary imcompressible Navier-Stokes equations

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Radial basis function meshless method for the steady incompressible Navier–Stokes equations

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Direct solution of Navier-Stokes equations by radial basis functions

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Meshless schemes for unsteady Navier--Stokes equations in vorticity formulation using radial basis functions

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Numerical solution of the two-phase incompressible Navier-Stokes equations using a GPU-accelerated meshless method

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Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method

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Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair

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Non‐intrusive reduced‐order modelling of the Navier–Stokes equations based on RBF interpolation

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Numerical modeling of Stokes flow in a circular cavity by variational multiscale element free Galerkin method

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Modeling via differential quadrature method: Three-dimensional solutions for rectangular plates

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A novel vector potential formulation of 3D Navier-Stokes equations with through-flow boundaries by a local meshless method

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Steady-state solution of incompressible Navier-Stokes equations using discrete least-squares meshless method

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Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations

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A global meshless collocation particular solution method for solving the two-dimensional Navier-Stokes system of equations

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Parallel computation of unsteady incompressible viscous flows around moving rigid bodies using an immersed object method with overlapping grids

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Mixed stabilized finite element methods based on backward difference/Adams-Bashforth scheme for the time-dependent variable density incompressible flows

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NUMERICAL SOLUTION OF THE TIME-DEPENDENT NAVIER–STOKES EQUATION FOR VARIABLE DENSITY–VARIABLE VISCOSITY. PART I

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The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview

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A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction

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Reduced-order adaptive controllers for fluid flows using POD

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A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition

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Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices

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A POD reduced order model for resolving angular direction in neutron/photon transport problems

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media

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Temporal localized nonlinear model reduction with a priori error estimate

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Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns

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Data-Driven Science and Engineering

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An hybrid finite volume-finite element method for variable density incompressible flows

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A splitting method for incompressible flows with variable density based on a pressure Poisson equation

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A projection FEM for variable-density incompressible flows

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SPH modelling of viscous flow past a circular cylinder interacting with a free surface

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CMA.2020.112914

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Sitelinks

Mathematics(1 entry)

mardi Publication:2180431

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