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Jonathan Trevelyan's Outputs (108)

The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem (2019)
Journal Article
Carrer, J., Seaid, M., Trevelyan, J., & Solheid, B. (2019). The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem. Engineering Analysis with Boundary Elements, 109, 129-142. https://doi.org/10.1016/j.enganabound.2019.09.016

A Boundary Element Method formulation is developed for the solution of the two-dimensional anomalous diffusion equation. Initially, the Riemann–Liouville Fractional derivative is applied on both sides of the partial differential equation (PDE), thus... Read More about The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem.

Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering (2019)
Journal Article
El-Kacimi, A., Laghrouche, O., Ouazar, D., Mohamed, M., Seaid, M., & Trevelyan, J. (2019). Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering. Computer Methods in Applied Mechanics and Engineering, 355, 614-638. https://doi.org/10.1016/j.cma.2019.06.032

The aim of this paper is to accurately solve short wave scattering problems governed by the Helmholtz equation using the Bernstein-Bezier Finite Element method (BBFEM), combined with a conformal perfectly matched layer (PML). Enhanced PMLs, where cur... Read More about Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering.

Discontinuous isogeometric boundary element (IGABEM) formulations in 3D automotive acoustics (2019)
Journal Article
Sun, Y., Trevelyan, J., Hattori, G., & Lu, C. (2019). Discontinuous isogeometric boundary element (IGABEM) formulations in 3D automotive acoustics. Engineering Analysis with Boundary Elements, 105, 303-311. https://doi.org/10.1016/j.enganabound.2019.04.011

The isogeometric boundary element method (IGABEM) is a technique that employs non-uniform rational B-splines (NURBS) as basis functions to discretise the solution variables as well as the problem geometry in a boundary element formulation. IGABEM has... Read More about Discontinuous isogeometric boundary element (IGABEM) formulations in 3D automotive acoustics.

An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method (2019)
Journal Article
Li, S., Trevelyan, J., Wu, Z., Lian, H., & Zhang, W. (2019). An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method. Computer Methods in Applied Mechanics and Engineering, 349, 312-338. https://doi.org/10.1016/j.cma.2019.02.023

This work presents an adaptive Singular Value Decomposition (SVD)-Krylov reduced order model to solve structural optimization problems. By utilizing the SVD, it is shown that the solution space of a structural optimization problem can be decomposed i... Read More about An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method.

A solution approach for contact problems based on the dual interpolation boundary face method (2019)
Journal Article
Zhang, J., Shu, X., Trevelyan, J., Lin, W., & Chai, P. (2019). A solution approach for contact problems based on the dual interpolation boundary face method. Applied Mathematical Modelling, 70, 643-658. https://doi.org/10.1016/j.apm.2019.02.013

The recently proposed dual interpolation boundary face method (DiBFM) has been shown to have a much higher accuracy and improved convergence rates compared with the traditional boundary element method. In addition, the DiBFM has the ability to approx... Read More about A solution approach for contact problems based on the dual interpolation boundary face method.

Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures (2018)
Journal Article
Gong, Y., Trevelyan, J., Hattori, G., & Dong, C. (2019). Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures. Computer Methods in Applied Mechanics and Engineering, 346, 642-673. https://doi.org/10.1016/j.cma.2018.12.019

We present an isogeometric boundary element method (IGABEM) capable of delivering accurate and efficient solutions in the heat transfer analysis of 2D coated structures such as those commonly found in turbomachinery. Although we consider very thin co... Read More about Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures.

Bernstein - Bézier based finite elements for efficient solution of short wave problems (2018)
Journal Article
El Kacimi, A., Laghrouche, O., Mohamed, M., & Trevelyan, J. (2019). Bernstein - Bézier based finite elements for efficient solution of short wave problems. Computer Methods in Applied Mechanics and Engineering, 343, 166-185. https://doi.org/10.1016/j.cma.2018.07.040

In this work, the Bernstein-Bézier Finite Element Method (BBFEM) is implemented to solve short wave problems governed by the Helmholtz equation on unstructured triangular mesh grids. As for the hierarchical Finite Element (FE) approach, this high ord... Read More about Bernstein - Bézier based finite elements for efficient solution of short wave problems.

A non-ordinary state-based peridynamics framework for anisotropic materials (2018)
Journal Article
Hattori, G., Trevelyan, J., & Coombs, W. (2018). A non-ordinary state-based peridynamics framework for anisotropic materials. Computer Methods in Applied Mechanics and Engineering, 339, 416-442. https://doi.org/10.1016/j.cma.2018.05.007

Peridynamics (PD) represents a new approach for modelling fracture mechanics, where a continuum domain is modelled through particles connected via physical interactions. This formulation allows us to model crack initiation, propagation, branching and... Read More about A non-ordinary state-based peridynamics framework for anisotropic materials.

Accelerating isogeometric boundary element analysis for 3-dimensional elastostatics problems through black-box fast multipole method with proper generalized decomposition (2018)
Journal Article
Li, S., Trevelyan, J., Zhang, W., & Wang, D. (2018). Accelerating isogeometric boundary element analysis for 3-dimensional elastostatics problems through black-box fast multipole method with proper generalized decomposition. International Journal for Numerical Methods in Engineering, 114(9), 975-998. https://doi.org/10.1002/nme.5773

The isogeometric approach to computational engineering analysis makes use of Non-Uniform Rational B-splines (NURBS) to discretise both the geometry and the analysis field variables, giving a higher fidelity geometric description and leading to improv... Read More about Accelerating isogeometric boundary element analysis for 3-dimensional elastostatics problems through black-box fast multipole method with proper generalized decomposition.

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.

An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials (2016)
Journal Article
Hattori, G., Alatawi, I., & Trevelyan, J. (2017). An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials. International Journal for Numerical Methods in Engineering, 109(7), 965-981. https://doi.org/10.1002/nme.5311

We propose a formulation for linear elastic fracture mechanics (LEFM) in which the stress intensity factors (SIF) are found directly from the solution vector of an extended boundary element method (XBEM) formulation. The enrichment is embedded in the... Read More about An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials.

A boundary element and level set based topology optimisation using sensitivity analysis (2016)
Journal Article
Ullah, B., & Trevelyan, J. (2016). A boundary element and level set based topology optimisation using sensitivity analysis. Engineering Analysis with Boundary Elements, 70, 80-98. https://doi.org/10.1016/j.enganabound.2016.06.001

The structural topology optimisation method presented in this paper is based on the boundary element method, level set method and shape sensitivity analysis for two-dimensional linear elastic problems. The proposed method automatically nucleates hole... Read More about A boundary element and level set based topology optimisation using sensitivity analysis.

Backward waves with double zero-group-velocity points in a liquid-filled pipe (2016)
Journal Article
Cui, H., Lin, W., Zhang, H., Wang, X., & Trevelyan, J. (2016). Backward waves with double zero-group-velocity points in a liquid-filled pipe. The Journal of the Acoustical Society of America, 139(3), 1179-1194. https://doi.org/10.1121/1.4944046

Hollow cylinders often exhibit backward propagation modes whose group and phase velocities have opposite directions, and these exhibit a minimum possible frequency at which the group velocity vanishes at a nonzero wavenumber. These zero-group-velocit... Read More about Backward waves with double zero-group-velocity points in a liquid-filled pipe.

Numerical simulation of fracking in shale rocks: current state and future approaches (2016)
Journal Article
Hattori, G., Trevelyan, J., Augarde, C., Coombs, W., & Aplin, A. (2017). Numerical simulation of fracking in shale rocks: current state and future approaches. Archives of Computational Methods in Engineering, 24(2), 281-317. https://doi.org/10.1007/s11831-016-9169-0

Extracting gas from shale rocks is one of the current engineering challenges but offers the prospect of cheap gas. Part of the development of an effective engineering solution for shale gas extraction in the future will be the availability of reliabl... Read More about Numerical simulation of fracking in shale rocks: current state and future approaches.

A three-dimensional implementation of the boundary element and level set based structural optimisation (2015)
Journal Article
Ullah, B., Trevelyan, J., & Ivrissimtzis, I. (2015). A three-dimensional implementation of the boundary element and level set based structural optimisation. Engineering Analysis with Boundary Elements, 58, 176-194. https://doi.org/10.1016/j.enganabound.2015.04.005

This paper presents a three-dimensional structural optimisation approach based on the boundary element and level set methods. The structural geometry is implicitly represented with the level set method, which evolves an initial structural model towar... Read More about A three-dimensional implementation of the boundary element and level set based structural optimisation.