Abstract
We present a framework to systematically derive variational formulations for fluid-structure interaction problems based on thermodynamical driving functionals and geometric structures in different coordinate systems by suitable transformations within this formulation. Our approach provides a promising basis to construct structure-preserving discretization strategies.
Funding source: Deutsche Forschungsgemeinschaft
Award Identifier / Grant number: 235221301
Funding source: Deutsche Forschungsgemeinschaft
Award Identifier / Grant number: 422792530
Funding source: Ministero dell’Istruzione, dell’Università e della Ricerca
Funding source: Berlin Mathematics Research Center MATH+
Funding source: Einstein Stiftung Berlin
Funding statement: AZ and MT acknowledge the funding by the DFG-Collaborative Research Centre 1114 Scaling cascades in complex systems, project #235221301, C09 Dynamics of rock dehydration on multiple scales. DP acknowledges the funding by the DFG-Priority Programme 2171 Dynamic Wetting of Flexible, Adaptive, and Switchable Substrates, project #422792530. LH acknowledges support from the National Research Project (PRIN 2017) “Numerical Analysis for Full and Reduced Order Methods for the efficient and accurate solution of complex systems governed by Partial Differential Equations,” funded by the Italian Ministry of Education, University, and Research. MT, DP, and LH thank the Berlin Mathematics Research Center MATH+ and the Einstein Foundation Berlin for the financial support within the Thematic Einstein Semester Energy-based mathematical methods for reactive multiphase flows and by project AA2-9.
References
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Articles in the same Issue
- Frontmatter
- Editorial
- Editorial
- Research Articles
- Pattern Formation in Thermal Convective Systems: Spatio-Temporal Thermal Statistics, Emergent Flux, and Local Equilibrium
- A Thermodynamical Description of Third Grade Fluid Mixtures
- A Robust Physics-Based Calculation of Evolving Gas–Liquid Interfaces
- Thermal Shear Waves Induced in Mesoscopic Liquids at Low Frequency Mechanical Deformation
- Sources of Finite Speed Temperature Propagation
- Non-Linear Heat Transport Effects in Systems with Defects
- Nonlinear Thermal Transport with Inertia in Thin Wires: Thermal Fronts and Steady States
- Optimizing the Piston Paths of Stirling Cycle Cryocoolers
- Non-Linear Stability and Non-Equilibrium Thermodynamics—There and Back Again
- Variational Approach to Fluid-Structure Interaction via GENERIC
- Short Communication
- Thermodynamical Foundations of Closed Discrete Non-Equilibrium Systems
- Review
- Thermotics As an Alternative Nonequilibrium Thermodynamic Approach Suitable for Real Thermoanalytical Measurements: A Short Review
Articles in the same Issue
- Frontmatter
- Editorial
- Editorial
- Research Articles
- Pattern Formation in Thermal Convective Systems: Spatio-Temporal Thermal Statistics, Emergent Flux, and Local Equilibrium
- A Thermodynamical Description of Third Grade Fluid Mixtures
- A Robust Physics-Based Calculation of Evolving Gas–Liquid Interfaces
- Thermal Shear Waves Induced in Mesoscopic Liquids at Low Frequency Mechanical Deformation
- Sources of Finite Speed Temperature Propagation
- Non-Linear Heat Transport Effects in Systems with Defects
- Nonlinear Thermal Transport with Inertia in Thin Wires: Thermal Fronts and Steady States
- Optimizing the Piston Paths of Stirling Cycle Cryocoolers
- Non-Linear Stability and Non-Equilibrium Thermodynamics—There and Back Again
- Variational Approach to Fluid-Structure Interaction via GENERIC
- Short Communication
- Thermodynamical Foundations of Closed Discrete Non-Equilibrium Systems
- Review
- Thermotics As an Alternative Nonequilibrium Thermodynamic Approach Suitable for Real Thermoanalytical Measurements: A Short Review