Elena Bachini
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View article: Derivation and simulation of a two-phase fluid deformable surface model
Derivation and simulation of a two-phase fluid deformable surface model Open
To explore the impact of surface viscosity on coexisting fluid domains in biomembranes we consider two-phase fluid deformable surfaces as model systems for biomembranes. Such surfaces are modelled by incompressible surface Navier–Stokes–Ca…
View article: Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties Open
We study the diffusion of tangential tensor-valued data on curved surfaces. For this purpose, several finite-element-based numerical methods are collected and used to solve a tangential surface n -tensor heat flow problem. These methods di…
View article: Derivation and simulation of a two-phase fluid deformable surface model
Derivation and simulation of a two-phase fluid deformable surface model Open
We consider two-phase fluid deformable surfaces as model systems for biomembranes. Such surfaces are modeled by incompressible surface Navier-Stokes-Cahn-Hilliard-like equations with bending forces. We derive this model using the Lagrange-…
View article: The interplay of geometry and coarsening in multicomponent lipid vesicles under the influence of hydrodynamics
The interplay of geometry and coarsening in multicomponent lipid vesicles under the influence of hydrodynamics Open
We consider the impact of surface hydrodynamics on the interplay between membrane curvature and lipid composition in coarsening processes on model systems for biomembranes. This includes the influence on scaling laws and equilibrium config…
View article: The interplay of geometry and coarsening in multicomponent lipid vesicles under the influence of hydrodynamics
The interplay of geometry and coarsening in multicomponent lipid vesicles under the influence of hydrodynamics Open
We consider the impact of surface hydrodynamics on the interplay between curvature and composition in coarsening processes on model systems for biomembranes. This includes scaling laws and equilibrium configurations, which are investigated…
View article: Two-dimensional model of flow and transport in porous media: linking heterogeneous anisotropy with stratal patterns in meandering tidal channel deposits of the Venice Lagoon (Italy)
Two-dimensional model of flow and transport in porous media: linking heterogeneous anisotropy with stratal patterns in meandering tidal channel deposits of the Venice Lagoon (Italy) Open
Understanding the internal structure of permeable and impermeable sediments (e.g. point-bars and tidal-flat deposits) generated by the evolution of meandering tidal channels is essential for accurate modeling of groundwater flow and contam…
View article: A geometrically intrinsic Lagrangian-Eulerian scheme for 2D Shallow Water Equations with variable topography and discontinuous data
A geometrically intrinsic Lagrangian-Eulerian scheme for 2D Shallow Water Equations with variable topography and discontinuous data Open
We present a Lagrangian-Eulerian scheme to solve the shallow water equations in the case of spatially variable bottom geometry. Using a local curvilinear reference system anchored on the bottom surface, we develop an effective first-order …
View article: Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties Open
We study the diffusion of tangential tensor-valued data on curved surfaces. For this purpose, several finite-element-based numerical methods are collected and used to solve a tangential surface n-tensor heat flow problem. These methods dif…
View article: Convergence analysis of the intrinsic surface finite element method
Convergence analysis of the intrinsic surface finite element method Open
The Intrinsic Surface Finite Element Method (ISFEM) was recently proposed to solve Partial Differential Equations (PDEs) on surfaces. ISFEM proceeds by writing the PDE with respect to a local coordinate system anchored to the surface and m…
View article: Geometrically intrinsic modeling of shallow water flows
Geometrically intrinsic modeling of shallow water flows Open
Shallow water models of geophysical flows must be adapted to geometric characteristics in the presence of a general bottom topography with non-negligible slopes and curvatures, such as a mountain landscape. In this paper we derive an intri…
View article: Numerical methods for Shallow Water Equations on regular surfaces
Numerical methods for Shallow Water Equations on regular surfaces Open
Shallow water models of geophysical flows must be adapted to geometric characteristics in the presence of a general bottom topography with non-negligible slopes and curvatures, such as a mountain landscape. In this thesis we derive an intr…