A finite difference lattice Boltzmann method (FDLBM) for the simulation of mud and debris flows one-dimensional cases has been introduced. The proposed FDLBM recovers generalized equations flows, that is, an unsteady Saint-Venant equation, including effects non-Newtonian behavior mixture water soil, contraction–expansion losses (or large eddy loss), wind force, various geometries, lateral inflo...

We study delamination in a sandwich panel due to transient finite plane strain elastic deformations caused by local water slamming loads and use the boundary element method to analyze motion of water and the finite element method to determine deformations of the panel. The cohesive zone model is used to study delamination initiation and propagation. The fluid is assumed to be incompressible and...

Thixotropy is the characteristic of a fluid to form a gelled structure over time when it is not subjected to shearing, and to liquefy when agitated. Thixotropic fluids are commonly used in the construction industry e.g., liquid concrete and drilling fluids , and related applications include some forms of mud flows and debris flows. This paper describes a basic study of dam break wave with thixo...

A linear-like discrete-time fuzzy controller was designed to control and stabilize a single-pool irrigation canal. Saint Venant equations for open-channel flow were linearized using the Taylor series and a finite-difference approximation of the original nonlinear partial differential equations. Using the linear optimal control theory, a traditional linear quadratic regulator (LQR) was first dev...

The objective of hybrid modeling is to obtain a balance of geological reality, the representation of spatial uncertainty with a fixed set of initial parameters and the capability of being conditioned to the hard data as well. Reasonable algorithms have been constructed in previous works (Pyrcz et al. 2003, 2005, Michael et al. 2008 and Leiva et al. 2009). However, realism of erosion and deposit...

Abstract: This paper proposes a sediment-transport model based on coupled Saint-Venant and Exner equations. A finite volume method of Godunov type with predictor-corrector steps is used to solve a set of coupled equations. An efficient combination of approximate Riemann solvers is proposed to compute fluxes associated with sediment-laden flow. In addition, a new method is proposed for computing...

In drylands, runoff during storms redistributes water and nutrients from bare soil areas to vegetated patches, subsidizing vegetation with additional resources. The extent of this redistribution depends on the interplay between surface roughness permeability; greater permeability in patches promotes run-on vegetation, but diverts runoff, producing tortuous flow paths that bypass vegetation. Her...

In this note, we report on recent findings concerning the spectral and nonlinear stability of periodic traveling wave solutions of hyperbolic-parabolic systems of balance laws, as applied to the St. Venant equations of shallow water flow down an incline. We begin by introducing a natural set of spectral stability assumptions, motivated by considerations from the Whitham averaged equations, and ...

We present a hybrid finite-volume-particle numerical method for computing the transport of a passive pollutant by a flow. The flow is modeled by the oneand two-dimensional Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. This paper is an extension of our previous work [Chertock, Kurganov and Petrova, J. Sci. Comput. (to appear)],...