On difference methods for the solution of a Cauchy problem for a hyperbolic equation with data on a parabolic line [PDF]
, 1961 Hajimu Ogawa
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Lattice Boltzmann Method Simulations About Shale Gas Diffusion in Sinusoidal Channels
Energy Science &Engineering, EarlyView.This paper characterizes the microscopic features of shale nanopores using sinusoidal functions and investigates the diffusion effects of methane gas in irregular nanopores through the lattice Boltzmann method. The result shows that methane is significantly influenced by large‐amplitude protrusions of the wall.
Xu Yan +4 more
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Pointwise bounds for the second initial-boundary value problem of parabolic type [PDF]
, 1966 Fred James Bellar
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A stability result for parameter identification problems in nonlinear parabolic problems
International Journal of Mathematics and Mathematical Sciences, 1995 A sequence of identification problems of coefficients in the parabolic equation with nonlinear boundary conditions is considered. The parameter (index of an element of the sequence) appears in the cost functionals as well as boundary data.
Stanislaw Migórski
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Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables
International Journal for Numerical Methods in Fluids, EarlyView.Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
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Free Boundary Problems for Parabolic Equations II. Evaporation or Condensation of a Liquid Drop [PDF]
, 1960 Avner Friedman
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On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations
Abstract and Applied Analysis, 2012 We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established.
Allaberen Ashyralyev, Okan Gercek
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Error Analysis of a Pressure‐Correction Method With Explicit Time‐Stepping
International Journal for Numerical Methods in Fluids, EarlyView.We study explicit variants of this well‐established pressure‐correction scheme for solving the Navier–Stokes equations. Step 3 is replaced by an explicit time‐integration method. We give the complete error analysis for this scheme that allows for highly efficient implementations.
Utku Kaya, Thomas Richter
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A remark on the uniqueness of the non-characteristic Cauchy problem for equations of parabolic type [PDF]
, 1965 Akira Tsutsumi
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A Filter‐Matrix Lattice‐Boltzmann Methodology for Convective Melting and Solidification
International Journal for Numerical Methods in Fluids, EarlyView.We propose a new methodology for simulating melting and solidification that can be used in lattice‐Boltzmann schemes that are based on filter‐matrix collision operators. The methodology includes an iteration‐free source‐based enthalpy method for phase‐change and an immersed boundary technique.
Celeke Bus +2 more
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