48 citations · 139 across the 10 of their papers we have counts for
10 papers
Incidence-based Combinatorial Geometry on Cell Complexes
Andrey P. Jivkov, Muhammad Azeem, Aneirin Griffiths +1
Combinatorial Mesh Calculus (CMC) formulates conservation laws directly on cell complexes using combinatorial differential forms and their cochain representations. This note develo…
Variational formulations of transport phenomena on combinatorial meshes
Kiprian Berbatov, Andrey P. Jivkov
We develop primal and mixed variational formulations of transport phenomena on cell complexes with simple polytope connectivity. This framework addresses materials with internal st…
Elevated temperature effects (T > 100 °C) on the interfacial water and microstructure swelling of Na-montmorillonite
Wei Qiang Chen, Majid Sedighi, Florent Curvalle +1
Montmorillonite-based barriers are key elements of the engineered barrier systems (EBS) in geological disposal facilities (GDF). Their performance at temperatures above 100 °C is n…
Thermo-osmosis in charged nanochannels: effects of surface charge and ionic strength
Wei Qiang Chen, Andrey P Jivkov, Majid Sedighi
Thermo-osmosis refers to fluid migration due to temperature gradient. The mechanistic understanding of thermo-osmosis in charged nano-porous media is still incomplete, while it is…
Thermal diffusion of ionic species in charged nanochannels
Wei Qiang Chen, Majid Sedighi, Andrey P Jivkov
Diffusion of ions due to temperature gradients (known as thermal diffusion) in charged nanochannels is of interest in several engineering fields, including energy recovery and envi…
Diffusion in multi-dimensional solids using Forman's combinatorial differential forms
Kiprian Berbatov, Pieter D. Boom, Andrew L. Hazel +1
The formulation of combinatorial differential forms, proposed by Forman for analysis of topological properties of discrete complexes, is extended by defining the operators required…
Analysis of heat transfer and water flow with phase change in saturated porous media by bond-based peridynamics
Petr Nikolaev, Majid Sedighi, Andrey P Jivkov +1
A wide range of natural and industrial processes involve heat and mass transport in porous media. In some important cases the transported substance may undergo phase change, e.g. f…
A Geometric Formulation of Linear Elasticity Based on Discrete Exterior Calculus
Pieter D. Boom, Odysseas Kosmas, Lee Margetts +1
A direct formulation of linear elasticity of cell complexes based on discrete exterior calculus is presented. The primary unknown are displacements, represented by primal vector-va…
Parallelized Discrete Exterior Calculus for Three-Dimensional Elliptic Problems
Pieter D. Boom, Ashley Seepujak, Odysseas Kosmas +2
A formulation of elliptic boundary value problems is used to develop the first discrete exterior calculus (DEC) library for massively parallel computations with 3D domains. This ca…
A mathematical model for plasticity and damage: A discrete calculus formulation
Ioannis Dassios, Andrey Jivkov, Andrew Abu-Muharib +1
In this article we propose a discrete lattice model to simulate the elastic, plastic and failure behaviour of isotropic materials. Focus is given on the mathematical derivation of…