# On meshfree GFDM solvers for the incompressible Navier–Stokes equations

@article{Suchde2017OnMG, title={On meshfree GFDM solvers for the incompressible Navier–Stokes equations}, author={Pratik Suchde and Joerg Kuhnert and Sudarshan Tiwari}, journal={Computers \& Fluids}, year={2017}, volume={165}, pages={1-12} }

## 25 Citations

### A practical finite difference scheme for the Navier-Stokes equation on curved surfaces in R3

- PhysicsJ. Comput. Phys.
- 2020

### A meshfree generalized finite difference method for surface PDEs

- Computer ScienceComput. Math. Appl.
- 2019

### Weighted Moving Square-Based Solver for Unsteady Incompressible Laminar Flow Simulations

- EngineeringApplied Sciences
- 2022

For computational fluid dynamics simulations, grid systems are generally used in the Eulerian frame for both structured and unstructured grids and solvers designed for the chosen grid systems. In…

### High-order simulations of isothermal flows using the local anisotropic basis function method (LABFM)

- PhysicsJ. Comput. Phys.
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### A meshfree Lagrangian method for flow on manifolds

- Computer ScienceInternational Journal for Numerical Methods in Fluids
- 2021

A new meshfree Lagrangian framework to model flow on surfaces and a strong form meshfree collocation scheme to solve the Navier–Stokes equations posed on manifolds is introduced.

### Algebraic multigrid for the finite pointset method

- Computer ScienceComput. Vis. Sci.
- 2020

This work investigates algebraic multigrid (AMG) methods for the linear systems arising from the discretization of Navier–Stokes equations via the finite pointset method and shows a robust and scalable convergence when compared to a BiCGStab(2) solver.

### A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries

- PhysicsJ. Comput. Phys.
- 2022

### Point cloud movement for fully Lagrangian meshfree methods

- Computer ScienceJ. Comput. Appl. Math.
- 2018

### Parallel Detection of Subsystems in Linear Systems Arising in the MESHFREE Finite Pointset Method

- MathematicsMeshfree Methods for Partial Differential Equations IX
- 2019

The Finite Pointset Method (FPM) is a meshfree method for simulations in the field of fluid dynamics and continuum mechanics (Tiwari and Kuhnert, Finite pointset method based on the projection method…

### Analysis of high Reynolds free surface flows

- Physics, EngineeringJournal of Mechanics
- 2022

In this paper, we will combine an upwind radial basis function-finite element with direct velocity–pressure formulation to study the two-dimensional Navier-Stokes equations with free surface flows.…

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