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The stabilized-trigonometric scalar auxiliary variable approach for gradient flows and its efficient schemes

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2021; 129 (1)

We develop a trigonometric scalar auxiliary variable (TSAV) approach for constructing linear, totally decoupled, and energy-stable numerical methods f......

Instability of two-layer flows with viscosity and density stratification

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2021; 130 (1)

The three-dimensional linear stability characteristics of two-layer immiscible fluid with a free surface are considered, wherein a Newtonian fluid con......

Green's function method for modal analysis of structures with interval parameters

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2021; 127 (1)

This paper presents a Green's function method for the modal analysis of structures with interval parameters. By introducing first order approximations......

Analysis of water wave interaction with multiple submerged porous reef balls

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2021; 127 (1)

This paper investigates the interaction of water waves with a group of submerged porous reef balls, which are hemispheres with centers lying on a plan......

The series expansion and Chebyshev collocation method for nonlinear singular two-point boundary value problems

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2021; 126 (1)

The solution of singular two-point boundary value problem is usually not sufficiently smooth at one or two endpoints of the interval, which leads to a......

Algebraic and modal methods for computing high-order sensitivities in asymmetrical undamped system

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2020; 122 (1)

Multi-parameter sensitivity algorithms can be used to construct a Hessian matrix and second-degree Taylor expansion. In terms of an asymmetric dynamic......

An analytical method of continuous upper bound limit analysis for the stability of shallow shield tunnels in cohesive-frictional soils

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2020; 122 (1)

For stability analysis of shallow shield tunnels in cohesive-frictional (clayey-sandy) soils, an analytical method of continuous upper bound limit ana......

Modified complex variable method for displacement induced by surcharge loads and shallow tunnel excavation

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2020; 123 (1)

In geo-engineering, mechanical problems of surcharge loads acting on ground surface and shallow tunnel excavation are often encountered. When the comp......

New formulation of the finite depth free surface Green function

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2020; 123 (1)

For a pulsating free surface source in a three-dimensional finite depth fluid domain, the Green function of the source presented by John [Communs. Pur......

The calculation of singular orders for composite material anti-plane propagating V-notches

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2020; 124 (1)

Because of geometric or material discontinuities, stress singularities can occur around the vertex of a V-notch. The singular order is an important pa......

The limits of Riemann solutions to Euler equations of compressible fluid flow with a source term

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2020; 125 (1)

In this paper, we investigate the limits of Riemann solutions to the Euler equations of compressible fluid flow with a source term as the adiabatic ex......

Oscillation periods of electric transmission lines with and without effect of bending deformation energy

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 0; ()

The study of the oscillation periods of suspended wires has an engineering background in the oscillation of electric transmission lines. However, the ......

Boundary-integral representations for ship motions in regular waves

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2019; 114 (1)

Alternative boundary-integral representations of linear potential flow around a ship that travels at a constant speed in regular (time-harmonic) waves......

JIF:1.15

Reformulation of wavenumber integrals describing transient waves

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2019; 115 (1)

A principal-value integral in wavenumber appears in the description of water waves generated by a wavemaker in wave tank. Its integrand is highly osci......

JIF:1.15

Quasi-exact solution of the Riemann problem for generalised dam-break over a mobile initially flat bed

期刊: JOURNAL OF ENGINEERING MATHEMATICS, 2019; 115 (1)

This paper investigates dam-break problems with flows on one or two sides of zero or nonzero velocities over a mobile initially flat bed, and quasi-ex......

JIF:1.15

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