Related Experiment Video
Updated: Jun 19, 2026
13:07
Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
Published on: January 15, 2022
Anisotropic mesh adaptivity for multi-scale ocean modelling
M D Piggott1, P E Farrell, C R Wilson
1Department of Earth Science and Engineering, Imperial College London, London, UK. m.d.piggott@imperial.ac.uk
Summary
Unstructured mesh methods in oceanography can be computationally expensive. This study introduces an optimization-based mesh adaptivity approach to improve efficiency by focusing resolution where needed, especially for anisotropic features.
Area of Science:
- Oceanography
- Computational Science
- Numerical Modeling
Background:
- Unstructured mesh methods offer advantages in oceanographic modeling for domain representation and non-uniform resolution.
- A significant challenge is the high computational cost compared to structured mesh methods.
- Mesh adaptivity is crucial for enhancing the efficiency of unstructured mesh models.
Purpose of the Study:
- To investigate an optimization-based approach for mesh adaptivity in oceanographic models.
- To specifically address the capture of anisotropic solution characteristics.
- To compare the performance of different resolution strategies.
Main Methods:
- Developed an optimization-based algorithm for mesh adaptivity.
- Focused on adapting mesh resolution to capture anisotropic features.
- Conducted comparative simulations using uniform isotropic, isotropic adaptive, and anisotropic adaptive resolutions.
Main Results:
- The proposed anisotropic adaptive resolution strategy shows potential for improving computational efficiency.
- Comparisons highlight differences in results based on resolution types.
- Anisotropic adaptivity effectively targets resolution for complex solution features.
Conclusions:
- Optimization-based anisotropic mesh adaptivity is a promising technique for reducing computational cost in oceanographic models.
- This approach enhances the competitiveness of unstructured mesh methods.
- Further research can refine these adaptive techniques for broader application.
Related Concept Videos
01:30Typical Model Studies
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
01:12Modeling and Similitude
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
01:20Mesh Analysis
Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
01:10Mesh Analysis with Current Sources
Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law (KVL)...
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law (KVL)...
01:14Multicompartment Models: Overview
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
01:29Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...