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Inflow/outflow with Dirichlet boundary conditions for pressure in ISPH

Journal of Computational Physics, 2016
In the present work we propose a new algorithm for open boundary treatment in ISPH. In the literature a few models for open boundary conditions are available, but most of them are applied to weakly compressible SPH (WCSPH) only. In our method the inflow/outflow is driven by true Dirichlet boundary conditions of the projected pressure field.
Philip Kunz   +3 more
openaire   +1 more source

Hybrid fractional diffusion problem with Dirichlet boundary conditions

2021
Summary: In this research, we discuss the construction of the analytic solution of homogeneous initial boundary value problem including partial differential equations of fractional order. Since homogeneous initial boundary value problem involves Hybrid fractional order derivative, it has classical initial and boundary conditions. By means of separation
DEMİR, ALİ, ÇETİNKAYA, SÜLEYMAN
openaire   +3 more sources

A Linear Thermoelastic Plate Equation with Dirichlet Boundary Condition

Mathematical Methods in the Applied Sciences, 1997
Summary: We consider an initial-boundary value problem for a linear thermoelastic plate equation and we prove that the energy associated to the system decays exponentially to zero as time goes to infinity.
Muñoz Rivera, Jaime E.   +1 more
openaire   +2 more sources

Use of Dirichlet boundary conditions for electron-atom scattering

Physical Review A, 1988
An R-matrix variational principle is presented in which the value of the function on the boundary surface is specified rather than its slope or logarithmic slope. Such a boundary condition appears to be convenient for treatment of the ionization process because, in principle, a boundary function can be built up by linear combination of inside solutions.
openaire   +2 more sources

The Dirichlet Problem With Denjoy-Perron Integrable Boundary Condition

Canadian Mathematical Bulletin, 1985
AbstractThe Poisson integral of a Denjoy-Perron integrable function defined on the boundary of an open disc is harmonic in this disc. Moreover, almost everywhere on the boundary, the nontangential limits of the integral coincide with the boundary condition. This extends the classical result for Lebesgue integrable boundary conditions.
Benedicks, M., Pfeffer, W. F.
openaire   +1 more source

Dirichlet Boundary Conditions and Effect of Confinement on Chemical Reactivity

The Journal of Physical Chemistry A, 2009
To understand the source of discrepancy in the qualitative trends in the reactivity of the spherically confined atoms/ions when the high pressure is generated through the use of a proper Dirichlet boundary condition [J. Chem. Sci. 2005, 117, 379; Phys. Chem. Chem. Phys. 2008, 10, 1406] and of a cutoff function [Chem. Phys. Lett. 2003, 372, 805; J. Phys.
U, Sarkar, S, Giri, P K, Chattaraj
openaire   +2 more sources

Dirichlet-to-Neumann boundary conditions for multiple scattering problems

Journal of Computational Physics, 2003
This paper deals with a Dirichlet-to-Neumann condition which is derived for the numerical solution of time-harmonic multiple scattering problems, where the scatterer consists of several disjoints components.
Grote, Marcus J., Kirsch, Christoph
openaire   +3 more sources

Wave equation with Dirichlet boundary conditions

2017
Partial differential equations derived from relationship between different physical and geometric problems where the function depends on two or more independent variables. Hyperbolic equations are a type of partial differential equations. In this paper, we consider the wave equation as a special form of hyperbolic equations.
Kocaleva, Mirjana   +4 more
openaire  

Finite Size Critical Behavior for Dirichlet Boundary Conditions

Zeitschrift f�r Physik B Condensed Matter, 1985
The behavior, near the upper critical dimension d = 4, of finite size properties at bulk criticality for n -vector models is shown to depend qualitatively on the type of boundary condition (bc). Contrary to the more complicated behavior which holds for periodic bc's, there exists an e = 4 − d expansion for Dirichlet (or free) bc's with only ...
openaire   +1 more source

Dirichlet-Neumann Boundary Condition

2004
Massimo Bianchi   +18 more
openaire   +1 more source

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