Thermodynamic and mechanical problems of ice formations: numerical simulation results

DOI10.1134/S1995080222070113zbMath1497.65122MaRDI QIDQ2675004

V. I. Golubev, D. S. Konov, E. K. Guseva, M. V. Muratov, Igor B. Petrov

Publication date: 20 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Stefan problemnumerical simulationgrid-characteristic methoddeformable solid bodyice formations

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Stefan problems, phase changes, etc. (80A22) Thermal effects in solid mechanics (74F05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydro- and aero-acoustics (76Q05) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Glaciology (86A40)

Related Items (3)

Linear, quasi-monotonic and hybrid grid-characteristic schemes for hyperbolic equations ⋮ Boundary and contact conditions of higher order of accuracy for grid-characteristic schemes in acoustic problems ⋮ Unnamed Item

Cites Work

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• The Muskat problem for a viscoelastic filtration
• Stability analysis of artificial ice islands by methods of mathematical modeling
• Simulation of seismic waves in anisotropic media
• A Numerical Solution of the Enthalpy Formulation of the Stefan Problem
• Explicit-Implicit Schemes for Calculating the Dynamics of Layered Media with Nonlinear Conditions at Contact Boundaries
• Monotonicity criteria for difference schemes designed for hyperbolic equations

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