4.6 Article

Alternatives to the Robert-Asselin filter

Journal

OCEAN MODELLING
Volume 41, Issue -, Pages 53-66

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.ocemod.2011.11.002

Keywords

Leap Frog; Physical mode; Computational mode; Robert-Asselin filter; Laplacian filter; TDI filter; TDE filter; FD filter; RAW filter; Kinetic energy balance; Oscillation equation

Funding

  1. French program ANR COM-ODO
  2. French programs GMMC
  3. Laboratoire d'Aerologie Computer Team

Ask authors/readers for more resources

The Leap Frog time stepping scheme (hereafter LF) partly loses its conservation properties when a Robert-Asselin filter (hereafter RA) is used to damp the computational mode. The LF + RA scheme actually leads to a well-known long term attenuation of the physical mode. Besides, the stability of the LF, e.g. the maximum permitted time step, is lowered by the use of the RA. Several methods, derived from the Laplacian approach of Marsaleix et al. (2008), are presented as an alternative to the RA. It appears that the physical mode is eventually much less impacted by higher order time filters. However, in some cases, the stability of the time stepping scheme becomes worse than that of the LF + RA. A five points scheme finally appears to preserve both the amplitude of the physical mode and the stability of the time stepping scheme. The analysis of these filters is based on a triple approach: the kinetic energy balance, the amplification factors of the oscillation equation, numerical experiments performed with a 3D circulation ocean model. (C) 2011 Elsevier Ltd. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Environmental Sciences

Effects of Nutrient Management Scenarios on Marine Eutrophication Indicators: A Pan-European, Multi-Model Assessment in Support of the Marine Strategy Framework Directive

Rene Friedland, Diego Macias, Gianpiero Cossarini, Ute Daewel, Claude Estournel, Elisa Garcia-Gorriz, Bruna Grizzetti, Marilaure Gregoire, Bo Gustafson, Sofia Kalaroni, Onur Kerimoglu, Paolo Lazzari, Hermann Lenhart, Gennadi Lessin, Ilja Maljutenko, Svetla Miladinova, Barbel Mueller-Karulis, Thomas Neumann, Ove Parn, Johannes Paetsch, Chiara Piroddi, Urmas Raudsepp, Corinna Schrum, Christoph Stegert, Adolf Stips, Kostas Tsiaras, Caroline Ulses, Luc Vandenbulcke

Summary: A novel pan-European marine model ensemble was established to assess the impacts of riverine nutrient reduction scenarios on marine eutrophication indicators. The ensemble showed consistent reductions in nutrient concentrations in most marine regions, with improvements in core indicators such as chlorophyll-a and bottom oxygen. However, there were regional variations in responses to nutrient input reductions, highlighting the need for improved management practices in river catchments to reduce marine eutrophication.

FRONTIERS IN MARINE SCIENCE (2021)

Article Multidisciplinary Sciences

The missing ocean plastic sink: Gone with the rivers

Lisa Weiss, Wolfgang Ludwig, Serge Heussner, Miguel Canals, Jean-Francois Ghiglione, Claude Estournel, Mel Constant, Philippe Kerherve

Summary: Research shows that the amount of microplastics discharged by rivers has been overestimated by two to three orders of magnitude, leading to a significant reduction in the theoretical need for a missing sink that could explain the rapid removal of plastics from the ocean surface.

SCIENCE (2021)

Article Ecology

Influence of winds, geostrophy and typhoons on the seasonal variability of the circulation in the Gulf of Tonkin: A high-resolution 3D regional modeling study

Violaine Piton, Marine Herrmann, Patrick Marsaleix, Thomas Duhaut, Trinh Bich Ngoc, Manh Cuong Tran, Kipp Shearman, Sylvain Ouillon

Summary: This study investigates the seasonal variability of the circulation in the Gulf of Tonkin (GoT) through numerical simulations and data evaluation. It identifies the characteristics of circulation in different seasons, including the cyclonic and anticyclonic surface circulation, as well as the impact of typhoons on the seasonal circulation in the GoT.

REGIONAL STUDIES IN MARINE SCIENCE (2021)

Article Oceanography

Sediment dynamics on the outer-shelf of the Gulf of Lions during a storm: An approach based on acoustic glider and numerical modeling

Mathieu Gentil, Claude Estournel, Xavier Durrieu de Madron, Gael Many, Travis Miles, Patrick Marsaleix, Serge Berne, Francois Bourrin

Summary: Describing and quantifying storm-induced sediment dynamics is crucial for understanding the role of sediments in marine ecosystems, nutrient cycling, and pollution dispersion. However, studying sediment dynamics during storms is challenging due to limited sampling. This study used an active acoustic glider and numerical models to quantify sediment dynamics over the Gulf of Lions' shelf during a storm. The results highlight the importance of wave forcing on sediment resuspension and suggest the presence of sediment transfer along the shelf.

CONTINENTAL SHELF RESEARCH (2022)

Article Oceanography

Assessment of relative dispersion in the Gulf of Tonkin using numerical modeling and HF radar observations of surface currents

Manh Cuong Tran, Alexei Sentchev, Stefano Berti, Nadia K. Ayoub, Tung Nguyen-Duy, Nguyen Kim Cuong

Summary: Particle pair statistics from synthetic drifter trajectories and numerical simulations were used to investigate dispersion properties in the Gulf of Tonkin. The study revealed that dispersion in the Gulf of Tonkin follows predictions from two-dimensional turbulence theory, with both local and non-local dispersion observed at different scales.

CONTINENTAL SHELF RESEARCH (2022)

Review Oceanography

Diversity, structure and spatial distribution of megabenthic communities in Cap de Creus continental shelf and submarine canyon (NW Mediterranean)

Carlos Dominguez-Carrio, Joan Lluis Riera, Katleen Robert, Mikel Zabala, Susana Requena, Andrea Gori, Covadonga Orejas, Claudio Lo Iacono, Claude Estournel, Guillem Corbera, Stefano Ambroso, Maria Jesus Uriz, Pablo J. Lopez-Gonzalez, Rafael Sarda, Josep-Maria Gili

Summary: This study provides a detailed characterization of the continental shelf and submarine canyon off Cap de Creus in the NW Mediterranean. The underwater video transects reveal the composition and structure of various benthic communities, including coral gardens, sea pen and soft coral assemblages, and dense beds of crinoids and sponges. The study also highlights the importance of effective management actions to protect the unique benthic fauna in this area, considering the anthropogenic pressures it faces.

PROGRESS IN OCEANOGRAPHY (2022)

Article Oceanography

Internal Tides Responsible for Lithogenic Inputs Along the Iberian Continental Slope

Simon Barbot, Marion Lagarde, Florent Lyard, Patrick Marsaleix, Pascale Lherminier, Catherine Jeandel

Summary: This study provides new insights into the interpretation of GEOVIDE particle measurements, identifying potential resuspension sites caused by internal tides along the western Iberian shelf slope. The study uses a regional model and reanalysis method to determine the transport pathways for particles from the resuspension sites to the GEOVIDE stations. It highlights the importance of using a numerical tidal model to accurately identify resuspension sites, as the commonly used bathymetry slope method is not sufficient.

JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS (2022)

Article Oceanography

Impact of Intermittent Convection in the Northwestern Mediterranean Sea on Oxygen Content, Nutrients, and the Carbonate System

Marine Fourrier, Laurent Coppola, Fabrizio D'Ortenzio, Christophe Migon, Jean-Pierre Gattuso

Summary: Using Argo floats, the study reconstructed the dissolved oxygen dynamics in the Gulf of Lion and the Ligurian Sea. The two areas showed different responses to mixing events, with an overall increase in nutrients and a slowdown in acidification trends.

JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS (2022)

Review Oceanography

Sediment dynamics in the Gulf of Lion (NW Mediterranean Sea) during two autumn-winter periods with contrasting meteorological conditions

Claude Estournel, Guillaume Mikolajczak, Caroline Ulses, Francois Bourrin, Miquel Canals, Sabine Charmasson, David Doxaran, Thomas Duhaut, Xavier Durrieu de Madron, Patrick Marsaleix, Albert Palanques, Pere Puig, Olivier Radakovitch, Anna Sanchez-Vidal, Romaric Verney

Summary: A simulation was conducted to study sediment transport, erosion and deposition in the Gulf of Lion. The simulation compared simulated and observed data to assess reliability. The results showed sediment accumulation near the Rhone River mouth, accretion along the mid-shelf mud belt, and the impact of dense shelf water cascading on sediment resuspension and erosion. The study found an unbalanced sedimentary system with a deficit mainly over the inner shelf due to reduced inputs from the Rhone River.

PROGRESS IN OCEANOGRAPHY (2023)

Article Meteorology & Atmospheric Sciences

The role of wind, mesoscale dynamics, and coastal circulation in the interannual variability of the South Vietnam Upwelling, South China Sea - answers from a high-resolution ocean model

Thai To Duy, Marine Herrmann, Claude Estournel, Patrick Marsaleix, Thomas Duhaut, Long Bui Hong, Ngoc Trinh Bich

Summary: The study investigates the variability of the South Vietnam Upwelling (SVU) in the South China Sea and identifies the role of wind intensity, cyclonic circulation, and other factors in driving the interannual variability of the upwelling intensity. The study also reveals the development of upwelling off the Sunda Shelf and confirms the previously known development areas in the southern and northern coastal regions.

OCEAN SCIENCE (2022)

Article Ecology

Particulate organic carbon dynamics in the Gulf of Lion shelf (NW Mediterranean) using a coupled hydrodynamic-biogeochemical model

Gael Many, Caroline Ulses, Claude Estournel, Patrick Marsaleix

Summary: The research used a coupled hydrodynamic-biogeochemical model to study the dynamics of particulate organic carbon on the Gulf of Lion shelf, showing that primary production and organic carbon deposition are influenced by inputs from land and nearby ocean currents.

BIOGEOSCIENCES (2021)

Article Physics, Fluids & Plasmas

Wind-Forced Submesoscale Symmetric Instability around Deep Convection in the Northwestern Mediterranean Sea

Anthony Bosse, Pierre Testor, Pierre Damien, Claude Estournel, Patrick Marsaleix, Laurent Mortier, Louis Prieur, Vincent Taillandier

Summary: During the winters from 2009 to 2013, important vertical movements and symmetric instability were observed around the deep convection area in the northwestern Mediterranean Sea, related to potential vorticity dynamics. These phenomena play a significant role in the ventilation of intermediate layers, phytoplankton growth, and carbon export.

FLUIDS (2021)

Review Meteorology & Atmospheric Sciences

A deep-learning real-time bias correction method for significant wave height forecasts in the Western North Pacific

Wei Zhang, Yu Sun, Yapeng Wu, Junyu Dong, Xiaojiang Song, Zhiyi Gao, Renbo Pang, Boyu Guoan

Summary: This study employed a spatiotemporal deep-learning method to correct biases in numerical ocean wave forecasts. By using a correction model driven by both wave and wind fields and a novel pixel-switch loss function, the corrected results performed well in different seasons and improved the accuracy of the original forecasts.

OCEAN MODELLING (2024)