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20172022
most citedA Meshfree Generalized Finite Difference Method for Surface PDEs

83 citations · 253 across the 6 of their papers we have counts for

collaborators

6 papers

physics.flu-dyn2022★ 4 cited

Meshfree One-Fluid Modelling of Liquid-Vapor Phase Transitions

Pratik Suchde, Heinrich Kraus, Benjamin Bock-Marbach +1

We introduce a meshfree collocation framework to model the phase change from liquid to vapor at or above the boiling point. While typical vaporization or boiling simulations focus…

physics.flu-dyn2020★ 23 cited

A Meshfree Generalized Finite Difference Method for Solution Mining Processes

Isabel Michel, Tobias Seifarth, Joerg Kuhnert +1

Experimental and field investigations for solution mining processes have improved intensely in recent years. Due to today's computing capacities, three-dimensional simulations of p…

math.NA2019★ 43 cited

A Fully Lagrangian Meshfree Framework for PDEs on Evolving Surfaces

Pratik Suchde, Joerg Kuhnert

We propose a novel framework to solve PDEs on moving manifolds, where the evolving surface is represented by a moving point cloud. This has the advantage of avoiding the need to di…

math.NA2018★ 83 cited

A Meshfree Generalized Finite Difference Method for Surface PDEs

Pratik Suchde, Joerg Kuhnert

In this paper, we propose a novel meshfree Generalized Finite Difference Method (GFDM) approach to discretize PDEs defined on manifolds. Derivative approximations for the same are…

math.NA2017★ 40 cited

A Flux Conserving Meshfree Method for Conservation Laws

Pratik Suchde, Joerg Kuhnert, Simon Schroeder +1

Lack of conservation has been the biggest drawback in meshfree generalized finite difference methods (GFDMs). In this paper, we present a novel modification of classical meshfree G…

math.NA2017★ 60 cited

On Meshfree GFDM Solvers for the Incompressible Navier-Stokes Equations

Pratik Suchde, Joerg Kuhnert, Sudarshan Tiwari

Meshfree solution schemes for the incompressible Navier--Stokes equations are usually based on algorithms commonly used in finite volume methods, such as projection methods, SIMPLE…