A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II. Numerical predictions and experimental tests
We evaluate a new depth-averaged mathematical model that is designed to simulate all
stages of debris-flow motion, from initiation to deposition. A companion paper shows how …
stages of debris-flow motion, from initiation to deposition. A companion paper shows how …
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment
We consider the system of partial differential equations governing the one-dimensional flow
of two superposed immiscible layers of shallow water. The difficulty in this system comes …
of two superposed immiscible layers of shallow water. The difficulty in this system comes …
A Predictor–corrector scheme for simulation of two-phase granular flows over a moved bed with a variable topography
In this paper, we propose a numerical simulation of two-phase shallow granular flows
through a moved bed with a variable irregular topography via a predictor corrector scheme …
through a moved bed with a variable irregular topography via a predictor corrector scheme …
A well-balanced path-integral f-wave method for hyperbolic problems with source terms
RJ LeVeque - Journal of scientific computing, 2011 - Springer
Abstract Systems of hyperbolic partial differential equations with source terms (balance
laws) arise in many applications where it is important to compute accurate time-dependent …
laws) arise in many applications where it is important to compute accurate time-dependent …
Probabilistic quantification of hazards: a methodology using small ensembles of physics-based simulations and statistical surrogates
This paper presents a novel approach to assessing the hazard threat to a locale due to a
large volcanic avalanche. The methodology combines:(i) mathematical modeling of volcanic …
large volcanic avalanche. The methodology combines:(i) mathematical modeling of volcanic …
A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers
We present a Riemann solver derived by a relaxation technique for classical single-phase
shallow flow equations and for a two-phase shallow flow model describing a mixture of solid …
shallow flow equations and for a two-phase shallow flow model describing a mixture of solid …
[HTML][HTML] A central-upwind scheme for two-phase shallow granular flow model
In this article, a central-upwind scheme (CUP) is extended to solve two-phase shallow
granular flow (TPSF) model. The flow in this case is considered as incompressible and it is …
granular flow (TPSF) model. The flow in this case is considered as incompressible and it is …
The space–time CE/SE method for solving single and two-phase shallow flow models
In this paper, the space–time conservation element and solution element (CE/SE) method is
applied for simulating single-phase and two-phase shallow flows with bottom topography …
applied for simulating single-phase and two-phase shallow flows with bottom topography …
A kinetic flux-vector splitting scheme for two-layer shallow flow model
In this article, two-layer shallow flow model with non-flat basal topography is considered.
The presence of coupling terms in two layers make the system conditional hyperbolic. The …
The presence of coupling terms in two layers make the system conditional hyperbolic. The …
[HTML][HTML] A kinetic flux-vector splitting method for single-phase and two-phase shallow flows
A high order kinetic flux-vector splitting method (KFVS) is applied to solve single-phase and
two-phase shallow flow equations. The single-phase shallow water equations contain the …
two-phase shallow flow equations. The single-phase shallow water equations contain the …