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Numerical Simulation of MZF Design with Non-planar Hydraulic Fracturing from Multi-lateral Horizontal Wells (2017)
Journal Article
Sobhaniaragh, B., Trevelyan, J., Mansur, W., & Peters, F. (2017). Numerical Simulation of MZF Design with Non-planar Hydraulic Fracturing from Multi-lateral Horizontal Wells. Journal of Natural Gas Science and Engineering, 46, 93-107. https://doi.org/10.1016/j.jngse.2017.07.005

In recent years, developments in the oil and gas industry have evolved significantly in advancing the mechanical systems technology to perform hydraulic fracturing. However, further developments will require an in-depth understanding of the impacts o... Read More about Numerical Simulation of MZF Design with Non-planar Hydraulic Fracturing from Multi-lateral Horizontal Wells.

High-order finite elements for the solution of Helmholtz problems (2017)
Journal Article
Christodoulou, K., Laghrouche, O., Mohamed, M., & Trevelyan, J. (2017). High-order finite elements for the solution of Helmholtz problems. Computers and Structures, 191, 129-139. https://doi.org/10.1016/j.compstruc.2017.06.010

In this paper, two high-order finite element models are investigated for the solution of two-dimensional wave problems governed by the Helmholtz equation. Plane wave enriched finite elements, developed in the Partition of Unity Finite Element Method... Read More about High-order finite elements for the solution of Helmholtz problems.

Implementation and computational aspects of a 3D elastic wave modelling by PUFEM (2017)
Journal Article
Mahmood, M., Laghrouche, O., Trevelyan, J., & El Kacimi, A. (2017). Implementation and computational aspects of a 3D elastic wave modelling by PUFEM. Applied Mathematical Modelling, 49, 568-586. https://doi.org/10.1016/j.apm.2017.05.013

This paper presents an enriched finite element model for three dimensional elastic wave problems, in the frequency domain, capable of containing many wavelengths per nodal spacing. This is achieved by applying the plane wave basis decomposition to th... Read More about Implementation and computational aspects of a 3D elastic wave modelling by PUFEM.

A boundary element and level set based bi-directional evolutionary structural optimisation with a volume constraint (2017)
Journal Article
Ullah, B., Trevelyan, J., & Islam, S. (2017). A boundary element and level set based bi-directional evolutionary structural optimisation with a volume constraint. Engineering Analysis with Boundary Elements, 80, 152-161. https://doi.org/10.1016/j.enganabound.2017.02.012

A new topology optimisation algorithm is implemented and presented for compliance minimisation of continuum structures using a volume preserving mechanism which effectively handles a volume constraint. The volume preserving mechanism is based on a un... Read More about A boundary element and level set based bi-directional evolutionary structural optimisation with a volume constraint.

Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain (2017)
Journal Article
Drolia, M., Mohamed, M., Laghrouche, O., Seaid, M., & Trevelyan, J. (2017). Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain. Computers and Structures, 182, 354-367. https://doi.org/10.1016/j.compstruc.2016.11.011

This paper proposes a partition of unity enrichment scheme for the solution of the electromagnetic wave equation in the time domain. A discretization scheme in time is implemented to render implicit solutions of systems of equations possible. The sch... Read More about Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain.