The disturbance on the free surface of the liquid when the liquid-filled tanks are excited is called sloshing. This paper examines the nonlinear sloshing response of the liquid free surface in partially filled two-dimensional rectangular tanks using finite element method. The liquid is assumed to be inviscid, irrotational, and incompressible; fully nonlinear potential wave theory is considered ...

Analytical solution of dispersion in rapidly oscillating flows becomes infeasible in complex geometries. Simulation over long durations can be prohibitively expensive when there is a wide separation between the oscillation and dispersion time scales. Here, we present a methodology based on an implicit envelope-tracking scheme coupled with telescopic projections. A test problem, with a known ana...

A new moving staggered mesh discretization for the numerical simulation of incompressible flow problems involving free-surfaces is presented. The method uses the staggered mesh to obtain speed and conservation properties. Mesh motion provides a high quality mesh in the interior and detailed resolution of the free-surface motion on the surface. Mesh flipping allows for optimal mesh connectivity ...

regarding increasing importance of tank wagons and efficiency in fluids transportation, their usage is increasing every day. thus paying attention to their designs just as dynamic analysis of wagons during travelling time is vitally important. in this task, sloshing coefficient as prominent parameter in tank wagons designing has been investigated. to ease of efficient design, theses parameters ...

an elliptical tank cross-section is formulated to explore and optimization method, based on a real-coded genetic algorithm to enhance the roll stability limit of a tank vehicle. a shape genetic algorithm optimization problem is applied to minimize the overturning moment imposed on the vehicle due to c.g. height of the liquid load, and lateral acceleration and cargo load shift . the minimization...

We present a simplified and fast method for simulating minor mergers between galaxy clusters. Instead of following the evolution of the dark matter halos directly by the N-body method, we employ a rigid potential approximation for both clusters. The simulations are run in the rest frame of the more massive cluster and account for the resulting inertial accelerations in an optimised way. We test...

We investigate several 2D and 3D cases of the classical eigenvalue problem that arises in hydrodynamics and is referred to as the sloshing problem. In particular, for a domain W ⊂ R (canal’s crosssection), where ∂W = F ∪ B and F (cross-section of the free surface of fluid) is an interval of the x-axis, whereas B (bottom’s cross-section) is the graph of a negative function, the following result ...

The focus of the present paper is on the development of a finite element formulation to investigate the sloshing of liquids in partially filled rigid rectangular tanks undergoing base excitation. The liquid domain is discretized into two-dimensional four-node rectangular elements with the liquid velocity potential representing the nodal degrees of freedom. Liquid sloshing effects induced by bot...