Abstract: A coupled two-layer finite volume/finite element
method was proposed for solving dam-break flow problem
over deformable beds. The governing equations consist of the
well-balanced two-layer shallow water equations for the water flow
and a linear elastic model for the bed deformations. Deformations
in the topography can be caused by a brutal localized force or
simply by a class of sliding displacements on the bathymetry.
This deformation in the bed is a source of perturbations, on
the water surface generating water waves which propagate with
different amplitudes and frequencies. Coupling conditions at the
interface are also investigated in the current study and two mesh
procedure is proposed for the transfer of information through the
interface. In the present work a new procedure is implemented at
the soil-water interface using the finite element and two-layer finite
volume meshes with a conservative distribution of the forces at
their intersections. The finite element method employs quadratic
elements in an unstructured triangular mesh and the finite volume
method uses the Rusanove to reconstruct the numerical fluxes. The
numerical coupled method is highly efficient, accurate, well balanced,
and it can handle complex geometries as well as rapidly varying
flows. Numerical results are presented for several test examples of
dam-break flows over deformable beds. Mesh convergence study is
performed for both methods, the overall model provides new insight
into the problems at minimal computational cost.
Abstract: In this study, the different approaches currently followed by design codes to assess the stability of buildings utilizing concrete moment resisting frames structural system are evaluated. For such purpose, a parametric study was performed. It involved analyzing group of concrete moment resisting frames having different slenderness ratios (height/width ratios), designed for different lateral loads to vertical loads ratios and constructed using ordinary reinforced concrete and high strength concrete for stability check and overall buckling using code approaches and computer buckling analysis. The objectives were to examine the influence of such parameters that directly linked to frames’ lateral stiffness on the buildings’ stability and evaluates the code approach in view of buckling analysis results. Based on this study, it was concluded that, the most susceptible buildings to instability and magnification of second order effects are buildings having high aspect ratios (height/width ratio), having low lateral to vertical loads ratio and utilizing construction materials of high strength. In addition, the study showed that the instability limits imposed by codes are mainly mathematical to ensure reliable analysis not a physical ones and that they are in general conservative. Also, it has been shown that the upper limit set by one of the codes that second order moment for structural elements should be limited to 1.4 the first order moment is not justified, instead, the overall story check is more reliable.