Topic
Boundary value problem
About: Boundary value problem is a research topic. Over the lifetime, 145355 publications have been published within this topic receiving 2731135 citations. The topic is also known as: boundary value problems.
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TL;DR: In this paper, an approach to simulating magnetohydrodynamic (MHD) flows based on the lattice Boltzmann method (LBM) is presented, where the dynamics of the flow are simulated using a so-called multiple relaxation time (MRT) LBE, in which a source term is included for the Lorentz force.
58 citations
58 citations
TL;DR: In this paper, a technique is developed which utilizes numerical models and field pressure information to characterize acoustic fields and identify acoustic sources, where the numerical models are based on boundary element numerical procedures.
Abstract: A technique is developed which utilizes numerical models and field pressure information to characterize acoustic fields and identify acoustic sources. The numerical models are based on boundary element numerical procedures. Either pressure, velocity, or passive boundary conditions, in the form of impedance boundary conditions, may be imposed on the numerical model. Alternatively, if no boundary information is known, a boundary condition can be left unspecified. Field pressure data may be specified to overdetermine the numerical problem. The problem is solved numerically for the complete sound field from which the acoustic sources may be determined. The model can then be used to idenfify acoustic intensity paths in the field. The solution can be modified and the model used to evaluate design alternatives. In this investigation the method is tested analytically and verified. In addition, the sensitivity of the method to random and bias error in the input data is demonstrated.
58 citations
TL;DR: In this article, the authors project out from the finite-size scaling spectra of the XXZ model, the spectra corresponding to various charge sectors and boundary conditions, and show how the projection mechanism works for finite chains.
58 citations
TL;DR: In this article, a Hamiltonian system-based variational principle via the Lagrangian multiplier method is proposed to formulate the thin plate buckling in the symplectic space, and the governing equation is analytically solved for some fundamental subproblems which are superposed to yield the final solutions of the original problems.
58 citations