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Now showing items 1-8 of 8

#### Wildland fire propagation modelling

(2017-12)

Wildfire propagation modelling is a challenging problem due to its complex
multi-scale multi-physics nature. This process can be described by a reaction-
diffusion equation based on the energy balance principle. Alternative ...

#### Stochastic spatial models in ecology: a statistical physics approach

(2017-11-21)

Ecosystems display a complex spatial organization. Ecologists have long tried to characterize them
by looking at how different measures of biodiversity change across spatial scales. Ecological neutral
theory has provided ...

#### Wildland fire propagation modeling: fire-spotting parametrisation and energy balance

(2017-07-04)

Present research concerns the physical background of a wild-fire propagation model
based on the split of the front motion into two parts - drifting and fluctuating. The drifting part is solved by the level set method and ...

#### From G - Equation to Michelson - Sivashinsky Equation in Turbulent Premixed Combustion Modelling

(2017-06-20)

It is well known that the Michelson-Sivashinky equation describes hydrodynamic
instabilities in turbulent premixed combustion. Here a formulation of the flame
front propagation based on the G-equation and on stochastic ...

#### Front Curvature Evolution and Hydrodynamics Instabilities

(2017-06-07)

It is known that hydrodynamic instabilities in turbulent premixed combustion are
described by the Michelson-Sivashinsky (MS) equation. A model of the flame front
propagation based on the G-equation and on stochastic ...

#### Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions

(2017-04-28)

In this work, we propose novel discretisations of the spectral fractional Laplacian on bounded domains based on the integral formulation of the operator via the heat-semigroup formalism. Specifically, we combine suitable ...

#### Numerical valuation of two-asset options under jump diffusion models using Gauss-Hermite quadrature

(2017-04-19)

In this work a finite difference approach together with a bivariate Gauss–Hermite quadrature technique is developed for partial integro-differential equations related to option pricing problems on two underlying asset ...

#### Darrieus-Landau instabilities in the framework of the G-equation

(2017-04)

We consider a model formulation of the flame front propagation in turbulent premixed combustion based on
stochastic fluctuations imposed to the mean flame position. In particular, the mean flame motion is described by ...