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Modelling the evolution process for the growth of microalgae in an artificial pond is a huge challenge, given the complex interaction between hydrodynamics and biological processes occurring across various timescales. In this paper, we…

Numerical Analysis · Mathematics 2025-12-02 Olivier Bernard , Liu-Di Lu , Jacques Sainte-Marie , Julien Salomon

This paper focuses on mixing strategies and designing shape of the bottom topographies to enhance the growth of the microalgae in raceway ponds. A physical-biological coupled model is used to describe the growth of the algae. A simple model…

Numerical Analysis · Mathematics 2020-11-24 Olivier Bernard , Liu-Di Lu , Julien Salomon

We present a coupled model describing growth of microalgae in a raceway cultivation process, accounting for hydrodynamics. Our approach combines a biological model (based on the Han model) and shallow water dynamics equations that model the…

Optimization and Control · Mathematics 2020-11-10 Olivier Bernard , Liudi Lu , Jacques Marie , Julien Salomon

Microalgae are an important source of precursors (e.g. lipids) for a variety of biosynthetic processes (e.g. biofuel production). Their co-culturing with other organisms providing essential substrates for growth may reduce cost and provide…

Optimization and Control · Mathematics 2025-09-04 Rand Asswad , Jean-Luc Gouzé , Eugenio Cinquemani

This paper focuses on mixing strategies to enhance the growth of microalgae in a raceway pond. The flow is assumed to be laminar and the Han model describing the dynamics of the photosystems is used as a basis to determine growth rate as a…

Optimization and Control · Mathematics 2020-10-22 Olivier Bernard , Liudi Lu , Julien Salomon

The design and optimization of photobioreactors (PBR) can benefit from the development of robust and yet quantitatively accurate computational models, that incorporate the complex interplay of fundamental phenomena. At a minimum, the…

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…

Soft Condensed Matter · Physics 2023-04-19 Elena Bachini , Veit Krause , Axel Voigt

Some micro-algae are sensitive to light intensity gradients. This property is known as phototaxis: the algae swim toward a light source (positive phototaxis). We use this property to control the motion of micro-algae within a Poiseuille…

Soft Condensed Matter · Physics 2015-06-12 Xabel Garcia , Salima Rafaï , Philippe Peyla

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…

Numerical Analysis · Mathematics 2023-08-03 Elena Bachini , Veit Krause , Ingo Nitschke , Axel Voigt

In this review we discuss the recent progress in the simulation of soft active matter systems and in particular the hydrodynamics of microswimmers using the method of multiparticle collision dynamics, which solves the hydrodynamic flows…

Soft Condensed Matter · Physics 2020-09-03 Andreas Zöttl

In this paper we consider the multiscale modelling of water transport in vegetated soil. In the microscopic model we distinguish between subdomains of soil and plant tissue, and use the Richards equation to model the water transport through…

Analysis of PDEs · Mathematics 2024-11-05 Andrew Mair , Mariya Ptashnyk

The great challenge with biological membrane systems is the wide range of scales involved, from nanometers and picoseconds for individual lipids, to the micrometers and beyond millisecond for cellular signalling processes. While…

Computational Physics · Physics 2022-10-05 Mohsen Sadeghi , Frank Noé

A major challenge in the deployment of hydrokinetic turbines in aquatic environments is the risk of fish collisions. Traditional fish collision models often oversimplify this risk by neglecting critical factors, such as the thickness of the…

Fluid Dynamics · Physics 2025-02-24 Eshwanth Asok , Ruo-Qian Wang

The water circulation in the Soil-Plant-Atmosphere continuum and particularly the soil erosion induced by water are problems of main concern in the new era of climate change. The present paper aims to provide a mathematical tool to…

Fluid Dynamics · Physics 2024-08-23 Stelian Ion , Dorin Marinescu , Stefan-Gicu Cruceanu

In this article, we study in details the fluid dynamics system proposed in Clarelli et al (2013) to model the formation of cyanobacteria biofilms. After analyzing the linear stability of the unique non trivial equilibrium of the system, we…

Fluid Dynamics · Physics 2014-08-12 Fabrizio Clarelli , Cristiana Di Russo , Roberto Natalini , Magali Ribot

In this work we present a novel methodology to deal with the optimal performance of raceways (open-channel ponds where the circulating wastewater, during its purification process, is used to grow algae that will be used as a source for the…

Optimization and Control · Mathematics 2024-12-02 L. J. Alvarez-Vazquez , A. Martinez , M. E. Vazquez-Mendez

We propose a multi-layer approach to simulate hyperpycnal and hypopycnal plumes in flows with free surface. The model allows to compute the vertical profile of the horizontal and the vertical components of the velocity of the fluid flow.…

Fluid Dynamics · Physics 2017-05-16 T. Morales de Luna , E. D. Fernández-Nieto , M. J. Castro Díaz

A dissipative particle dynamics (DPD) model for the quantitative simulation of biofilm growth controlled by substrate (nutrient) consumption, advective and diffusive substrate transport, and hydrodynamic interactions with fluid flow…

Computational Physics · Physics 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky , Timothy. D. Scheibe

Cellular biology abound with filaments interacting through fluids, from intracellular microtubules, to rotating flagella and beating cilia. While previous work has demonstrated the complexity of capturing nonlocal hydrodynamic interactions…

Fluid Dynamics · Physics 2016-12-21 Yi Man , Lyndon Koens , Eric Lauga

The focus of this paper is the numerical solution of a pore-scale model for the growth of a permeable biofilm. The model includes water flux inside the biofilm, different biofilm components, and shear stress on the biofilm-water interface.…

Fluid Dynamics · Physics 2020-07-14 David Landa-Marbán , Iuliu S. Pop , Kundan Kumar , Florin A. Radu
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