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Everything about Finite pointset method
Method for solving problems in continuum mechanics
In applied mathematics, the finite pointset method (FPM) is a general approach for the numerical solution of problems in continuum mechanics, such as the simulation of fluid flows. In this approach the medium is represented by a finite set of points, each endowed with the relevant local properties of the medium such as density, velocity, pressure, and temperature. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Finite pointset methodA 5-minute orientation
- Skim a recent paper: A novel meshfree approach based on the finite pointset method for linear elasticity problemsInfluential work since 2022
- Read the landmark paper: Modeling of two-phase flows with surface tension by finite pointset method (FPM)Cited 87 times
- Go sideways: Smoothed-particle hydrodynamicsA closely related topic
- Go sideways: Immersed boundary methodA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Modeling of two-phase flows with surface tension by finite pointset method (FPM)
Finite pointset method for simulation of the liquid–liquid flow field in an extractor
Two-dimensional numerical simulation of heat transfer with moving heat source in welding using the Finite Pointset Method
Cutting Simulation with the Meshfree Finite Pointset Method
Numerical simulation of coupled fluid flow and heat transfer with phase change using the Finite Pointset Method
Application of the finite pointset method to non-stationary heat conduction problems
Meshfree numerical approach based on the Finite Pointset Method for static linear elasticity problems
Meshfree numerical simulation of free surface thermal flows in mould filling processes using the Finite Pointset Method
🆕 Influential since 2022
A novel meshfree approach based on the finite pointset method for linear elasticity problems
A GFDM approach based on the finite pointset method for two-dimensional piezoelectric problems
Meshfree numerical approach based on the finite pointset method for two-way coupled transient linear thermoelasticity
A novel approach to model the flow of generalized Newtonian fluids with the finite pointset method
A finite pointset method for Kuramoto–Sivashinsky equation based on mixed formulation
đź“š Books worth reading
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đź”— Related topics
- Smoothed-particle hydrodynamics Smoothed-particle hydrodynamics (SPH) is a computational method used for simulating the mechanics of continuum media, such as solid mechanics and fluid…
- Immersed boundary method In computational fluid dynamics, the immersed boundary method originally referred to an approach developed by Charles Peskin in 1972 to simulate fluid-structure…
- Meshfree methods In the field of numerical analysis, meshfree methods are those that do not require connection between nodes of the simulation domain, i.e. a mesh, but…
- Computational fluid dynamics Computational fluid dynamics (CFD) is a branch of both fluid mechanics and computational physics that uses numerical analysis and data structures to analyze…
- Volume of fluid method In computational fluid dynamics, the volume of fluid (VOF) method is a family of free-surface modelling techniques, i.e. numerical techniques for tracking…
- Finite point method The finite point method (FPM) is a meshfree method for solving partial differential equations (PDEs) on scattered distributions of points. The FPM was…
- Gerris (software) Gerris is computer software in the field of computational fluid dynamics (CFD). Gerris was released as free and open-source software, subject to the requirement…
- Thomas Hou Thomas Yizhao Hou (born 1962) is a Chinese-American mathematician who is the Charles Lee Powell Professor of Applied and Computational Mathematics in the…