16 citations · 29 across the 5 of their papers we have counts for
6 papers
Duality Arguments in the Analysis of a Viscoelastic Contact Problem
Piotr Bartman, Anna Ochal, Mircea Sofonea
We consider a mathematical model which describes the quasistatic frictionless contact of a viscoelastic body with a rigid-plastic foundation. We describe the mechanical assumptions…
PySDM v1: particle-based cloud modelling package for warm-rain microphysics and aqueous chemistry
Piotr Bartman, Oleksii Bulenok, Kamil Górski +7
PySDM is an open-source Python package for simulating the dynamics of particles undergoing condensational and collisional growth, interacting with a fluid flow and subject to chemi…
A survey of numerical methods for hemivariational inequalities with applications to Contact Mechanics
Anna Ochal, Michal Jureczka, Piotr Bartman
In this paper we present an abstract nonsmooth optimization problem for which we recall existence and uniqueness results. We show a numerical scheme to approximate its solution. Th…
On the design of Monte-Carlo particle coagulation solver interface: a CPU/GPU Super-Droplet Method case study with PySDM
Piotr Bartman, Sylwester Arabas
Super-Droplet Method (SDM) is a probabilistic Monte-Carlo-type model of particle coagulation process, an alternative to the mean-field formulation of Smoluchowski. SDM as an algori…
On numerical broadening of particle size spectra: a condensational growth study using PyMPDATA
Michael Olesik, Jakub Banaśkiewicz, Piotr Bartman +3
This work discusses the numerical aspects of representing the diffusional (condensational) growth in particulate systems such as atmospheric clouds. It focuses on the Eulerian mode…
Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem
Piotr Bartman, Krzysztof Bartosz, Michał Jureczka +1
In this work, we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a non-monotone relation between the tangentia…