Оn Non-Stationary Heat Transfer in Anisotropic Bodies With General Anisotropy and Given Distributed Heat Sources

Формалев, В. Ф.; Kuznetsova, E. L.; Колесник, С. А.; Pegachkova, E.A.

doi:10.12732/ijpam.v115i3.12

Cited by 1 publication

(1 citation statement)

References 9 publications

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“…The difference schemes built on different templates are compared based on the model problem of the plane acoustic wave diffraction on the parabolic cylinder, and the use of five-point difference scheme by the spatial variable with the threepoint scheme by the time variable is proposed. This type of problem was considered earlier (Formalev et al, 2015(Formalev et al, , 2016a(Formalev et al, , 2016c(Formalev et al, , 2016b(Formalev et al, , 2017a(Formalev et al, , 2017b(Formalev et al, , 2018b(Formalev et al, , 2018cKolesnik et al, 2015;Formalev and Kolesnik, 2016Okonechnikov et al, 2016;Prokofiev et al, 2016;Babaytsev et al, 2017;Gidaspov and Severina, 2017;Lurie et al, 2017;Bulychev et al, 2018aBulychev et al, , 2018bBulychev et al, , 2018cKuznetsova et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Non-Stationary Problem of the Plane Oblique Pressure Wave Diffraction on Thin Shell in the Shape of Parabolic Cylinder

Rabinskiy¹

2019

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A non-stationary plane problem of the dynamics of thin elastic shell in the form of parabolic cylinder immersed in the fluid under the impact of the plane oblique pressure wave is considered. To solve this problem, a system of equations in the related formulation is constructed. Herewith, the hydroelasticity problems are reduced to the equations of the shell dynamics, the damping effect of fluid is taken into account by introducing an integral convolution type operator in the time domain which in the first approximation allows for accounting the capillary porosity of the shell material. The operator core is a surface transition function of the auxiliary problem of the plane acoustic pressure wave diffraction on a convex surface. The problem is solved approximately based on the thin layer hypothesis. The integral and differential equations of shell motion are solved numerically based on the difference discretization of differential operators and the representation of the integral operator by sum using the trapezium rule.

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