Development of a fully implicit hydro-mechanical simulator using the enriched Galerkin formulation

An Enriched Galerkin Method with Lagrange Multiplier for the Coupled Stokes-Biot-Brinkman System

Fully mixed finite element methods for the coupling of viscoelasticity and reaction-diffusion models

We propose and analyse a fully mixed finite element method for a two-way coupled mechanochemical model of calcium signalling in viscoelastic tissue. The mechanical response follows a Kelvin--Voigt law, with the elastic and viscous stresses, velocity, and spin tensor as unknowns, and the symmetry of the total stress imp...

A Semi-Analytical Solution for Interpretation of Hydro-Mechanical Responses of Cylindrical Cavity Expansion in Unsaturated Structural Loess

The cavity expansion solution for loess is absent because the existing elastoplastic models fail to model the sophisticated behaviors of unsaturated loess as a classic axisymmetric boundary-value problem. This paper develops a novel solution for cavity expansion in unsaturated structural loess, taking the coupled hydro...

Numerical Analysis of Buoyancy‐Driven Darcy–Forchheimer Sutterby Fluid With Variable Transport Properties

Non‐Newtonian flow materials exhibit complicated rheological characteristics that play an important role in industrial and engineering transport processes. However, the coupled influence of Sutterby fluid rheology, porous‐medium resistance, buoyancy, thermal radiation, heat generation, and Arrhenius energy on flow an...

Verification of an Incompressible Viscoelastic Flow Solver Using the Method of Manufactured Solutions for Oldroyd‐B and Giesekus Constitutive Models

This study introduces an application of the Method of Manufactured Solutions (MMS) to verify high‐order compact finite‐difference schemes for solving two‐dimensional incompressible viscoelastic flows in the vorticity–stream function formulation. Using the lid‐driven cavity flow as a benchmark, the MMS generates artif...

Meshfree Snow Modelling using a Modified Cam-Clay Approach

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, plastic, viscous, and failure dominated regimes, imposing significant challenges for numerical methods, which intends to simulate large de...