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Complex Fluid Models of Mixed Quantum–Classical Dynamics
Several methods in nonadiabatic molecular dynamics are based on Madelung’s hydrodynamic description of nuclear motion, while the electronic component...
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Fluid Rendering
As shown in the previous chapters, fluid simulation deals with complex models and algorithms to approximate the myriad of behaviors fluids may have....
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Application: Compressible Multi-fluid Flows
Multi-fluid flows involving shock-accelerated inhomogeneities and shock-induced instability play essential roles in a wide variety of problems...
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Models arising in fluid and solid dynamics
We begin by introducing a list of models that describe complex flows in continuum physics, with the material being a gas, liquid, or solid. The...
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Numerical Analysis of the Blow-Up of One-Dimensional Polymer Fluid Flow with a Front
AbstractOne-dimensional flows of an incompressible viscoelastic polymer fluid that are qualitatively similar to the solutions of Burgers’ equation...
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Exact Solutions of Second-Grade Fluid Equations
AbstractThe second-grade fluid equations describe the motion of relaxing fluids such as aqueous solutions of polymers. The existence and uniqueness...
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Vibration control of fluid-conveying pipes: a state-of-the-art review
Fluid-conveying pipes are widely used to transfer bulk fluids from one point to another in many engineering applications. They are subject to various...
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Significance of Micro-Rotation on Buoyancy Driven Oscillatory Flow of Micropolar-Casson Fluid Through Tapered Wavy Channels: A Numerical Approach
The present study introduces a novel investigation into the heat and mass transfer in oscillatory micropolar-Casson fluid flow through a tapered wavy...
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Functionally Analytic Method for Modelling Axial-Symmetric Flows of Ideal Fluid
In this chapter, we continue to develop a functionally-analytic method for effective solving of boundary problems in a meridian plane of a spatial...
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Parametric resonance of axially functionally graded pipes conveying pulsating fluid
Based on the generalized Hamilton’s principle, the nonlinear governing equation of an axially functionally graded (AFG) pipe is established. The...
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Local Wavelet Adaptation of Cartesian Grids in Computational Fluid Dynamics
AbstractA method for dynamic local adaptation of graded Cartesian trees for the numerical solution of fluid dynamics problems is presented. Local...
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The identification of obstacles immersed in a steady incompressible viscous fluid
In this paper, the identification of immersed obstacles in a steady incompressible Navier–Stokes viscous fluid flow from fluid traction measurements...
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Modeling, Simulation and Optimization of Fluid Dynamic Applications
This book describes recent collaborations combining the expertise of applied mathematicians, engineers and geophysicists within a research training...
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Nonlinear dynamics of a circular curved cantilevered pipe conveying pulsating fluid based on the geometrically exact model
Due to the novel applications of flexible pipes conveying fluid in the field of soft robotics and biomedicine, the investigations on the mechanical...
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Parallelization strategies for resolved simulations of fluid-structure-particle interactions
Fluid-structure-particle interactions in three spatial dimensions happen in many environmental and engineering flows. This paper presents the...
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Nonisothermal Fluid Filtration to a Vertical Well in Naturally Fractured Reservoir
AbstractIn this paper, a dual-porosity model of nonisothermal fluid filtration in naturally fractured reservoir is constructed. Based on the proposed...
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On Small Motions of Hydraulic Systems Containing Viscoelastic Fluid
In this paper, we study two problems describing small motions of partially dissipative hydraulic systems. The first problem concerns small motions of...
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The Singular Limit of Second-Grade Fluid Equations in a 2D Exterior Domain
In this paper, we consider the second-grade fluid equations in a 2D exterior domain satisfying the non-slip boundary conditions. The second-grade...
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Asymptotics of the Spectrum of Variational Problems Arising in the Theory of Fluid Oscillations
This work is a survey of results on the spectral asymptotics of variational problems arising in the theory of small oscillations of a fluid in a...
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On the Immersed Boundary Method with Time-Filter-SAV for Solving Fluid–Structure Interaction Problem
In this work, the immersed boundary method with time filter and scalar auxiliary variable techniques is studied to solve the fluid–structure...
