activity
20172026
most citedA Meshfree Generalized Finite Difference Method for Surface PDEs

83 citations · 350 across the 20 of their papers we have counts for

collaborators

20 papers

math.NA2026

Point Cloud Quality for Meshfree Methods

Mohsen Abdolahzadeh, Oleg Davydov, Isabel Michel +1

Mesh quality is very well studied and widely used to quantify a good mesh. In contrast, a systematic study of quality of meshfree point clouds is lacking. This gap makes it difficu…

math.NA2026

Meshfree Snow Modelling using a Modified Cam-Clay Approach

Erik Schlesinger, Chaitanya Sanghavi, Jörg Kuhnert +2

Snow is a complex geomaterial whose macroscopic response is governed by density, temperature, and the topology of its evolving microstructure. Its mechanical behavior spans elastic…

physics.flu-dyn2026

Boundary treatment algorithms for meshfree RANS turbulence modeling

Mohan Padmanabha, Jörg Kuhnert, Nicolas R. Gauger +1

In this paper, we propose improved wall-treatment strategies for meshfree methods applied to turbulent flows. The goal is to enhance wall-function handling in simulations of high-R…

math.NA2025

An Overview of Meshfree Collocation Methods

Tomas Halada, Serhii Yaskovets, Abhinav Singh +3

We provide a comprehensive overview of meshfree collocation methods for numerically approximating differential operators on continuously labeled unstructured point clouds. Meshfree…

physics.flu-dyn2024★ 4 cited

An Eulerian Meshless Method for Two-phase Flows with Embedded Geometries

Anand S Bharadwaj, Pratik Suchde, Prapanch Nair

We present a novel Eulerian meshless method for two-phase flows with arbitrary embedded geometries. The spatial derivatives are computed using the meshless generalized finite diffe…

physics.flu-dyn2024

Adaptive coupling of 3D and 2D fluid flow models

Pratik Suchde

Similar to the notion of h-adaptivity, where the discretization resolution is adaptively changed, I propose the notion of model adaptivity, where the underlying model (the governin…

physics.flu-dyn2024★ 5 cited

A Lagrangian meshfree model for solidification of liquid thin-films

Anand S Bharadwaj, Elisa Thiel, Pratik Suchde

In this paper, a new method to model solidification of thin liquid films is proposed. \blue{This method is targeted at applications like aircraft icing and tablet coating where the…

math.NA2023★ 1 cited

Higher-Order Generalized Finite Differences for Variable Coefficient Diffusion Operators

Heinrich Kraus, Jörg Kuhnert, Pratik Suchde

We present a novel approach of discretizing variable coefficient diffusion operators in the context of meshfree generalized finite difference methods. Our ansatz uses properties of…

physics.flu-dyn2023★ 7 cited

Volume and Mass Conservation in Lagrangian Meshfree Methods

Pratik Suchde, Christian Leithäuser, Jörg Kuhnert +1

Meshfree Lagrangian frameworks for free surface flow simulations do not conserve fluid volume. Meshfree particle methods like SPH are not mimetic, in the sense that discrete mass c…

math.NA2022

Smart cloud collocation: geometry-aware adaptivity directly from CAD

Thibault Jacquemin, Pratik Suchde, Stéphane P. A. Bordas

Computer Aided Design (CAD) is widely used in the creation and optimization of various industrial systems and processes. Transforming a CAD geometry into a computational discretiza…

physics.flu-dyn2022★ 8 cited

A Discrete Droplet Method for Modelling Thin Film Flows

Anand S Bharadwaj, Joerg Kuhnert, Stephane P. A. Bordas +1

In this paper, we present a new model to simulate the formation, evolution, and break up of a thin film of fluid flowing over a curved surface. Referred to as the discrete droplet…

math.NA2022★ 15 cited

A Meshfree Point Collocation Method for Elliptic Interface Problems

Heinrich Kraus, Jörg Kuhnert, Andreas Meister +1

We present a meshfree generalized finite difference method for solving Poisson's equation with a diffusion coefficient that contains jump discontinuities up to several orders of ma…

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.NA2020★ 25 cited

A Meshfree Lagrangian Method for Flow on Manifolds

Pratik Suchde

In this paper, we present a novel meshfree framework for fluid flow simulations on arbitrarily curved surfaces. First, we introduce a new meshfree Lagrangian framework to model flo…

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★ 32 cited

Point Cloud Movement For Fully Lagrangian Meshfree Methods

Pratik Suchde, Joerg Kuhnert

In Lagrangian meshfree methods, the underlying spatial discretization, referred to as a point cloud or a particle cloud, moves with the flow velocity. In this paper, we consider di…

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…