Sections

Multibody dynamics enables the simulation of a wide variety of systems, all characterized by having multiple parts in relative motion with one another. Applications span from biological to engineering systems, requiring diverse capabilities which range from real-time simulation to high fidelity modeling of complex multidisciplinary systems. Goal of this mini-symposium is to present a view on the latest developments in models and advanced numerical methods in multibody dynamics. Focus is on techniques that enable applications to complex real-life problems.

Section S02 will focus on numerical and experimental techniques to study the structure, function and evolution of biological systems for a broad spectrum of scales, i.e., addressing the cellular, tissue, organ, or organ system scale. The topics will focus on, but are not limited to, multiscale modelling, gait analysis, foot biomechanics, musculoskeletal and orthopedic biomechanics, remodeling, cardiovascular biomechanics, multiphase modeling of biological tissues, tumor growth modeling, transport oncophysics, nanomechanics of biological materials, nanomedicine, modeling of drug delivery, and image-based methods for assessing and interpreting clinical data.

Failure of materials and structural components is an important issue as long as man-made constructions exist. The section focuses on damage mechanics and fracture mechanics for all kinds of solid materials and structures. It aims at bringing together related original research covering experimental observations, modeling approaches and numerical techniques. Moreover, material failure is a complex process, which may be considered on different length scales ranging from atomistic scale up to macro scale of engineering structures. Since failure behavior of materials strongly depends on loading situations, contributions addressing static, dynamic and multi-axial failure are welcome as well as fatigue problems.

The section will focus on advanced theoretical, numerical and experimental models for the evaluation of the behavior of structures subjected to static and dynamic loads. Innovative materials characterized by high strength, anisotropy and unconventional mechanical responses pose new challenges to the design and the performance of various structural elements such as beams, plates and shells. In particular, structural issues may appear at different scales when materials with an internal architecture are employed. Particularly welcome are linear and nonlinear models and algorithms that address static and dynamic behavior of structures at different scales.

The section covers all fields of vibrational problems in solid mechanics or mechatronics including nonlinear effects. Submissions may address, for example, systems with nonlinear material behavior, nonlinearities in joints, mathematical solution methods (analytical or numerical), control or description of nonlinear behavior like bifurcations or chaos, or experimental idendification of nonlinearities.

The section focuses on constitutive modelling of natural and artificial materials subject to elastic and inelastic deformation processes. The aim is to compare new constitutive models formulated on both the phenomenological and the micromechanics basis to determine their validity by comparison of simulations with experiments. A wide range of open problems will be considered in the section, like multi-scale modelling of heterogeneous materials, implementation of constitutive models in numerical applications, and the virtual testing of structural systems.

Coupled problems arise in several applications. From a general point of view each problem containing more than one primary field is called a coupled one. Usually the class of coupled problems is subdivided into volumetrically coupled problems and problems with surface coupling. The class of volumetrically coupled problems contains e.g. the fluid flow in porous solids described by mixture theory, thermo-mechanically coupled problems, chemo-mechanically coupled problems and electro- or magneto-mechanically coupled problems while in the second class problems like the fluid-solid interaction via an interface are included. All problems is in common that the presence of different fields in the numerical treatment requires special attention with respect to the multi-field formulation and the solution strategy. The session on coupled problems deals with all aspects mentioned above, i.e. ranging from modelling aspects to numerical solution strategies.

This section is dedicated to discuss recent advances in multiscale and homogenization techniques for static and dynamic problems. Topics of particular interest are nonlinear homogenization techniques, multiscale modelling of failure processes and localization phenomena, FE2 methods, atomistic to continuum coupling, contact homogenization, model reduction techniques and furthermore homogenization schemes incorporating experimentally determined microstructure data.

This section will focus on the analysis and modeling of transition from laminar to turbulent flow using DNS, LES, RANS equations, and experiments. Contributions are expected in, but not limited to, the following topics: stability of incompressible and compressible flows, fundamental study of the dynamics of transition, influence of the wall roughness on transition, transition modelling for LES and RANS equations, transition in flows with complex geometries, subcritical transition.

The topic of this session is the analysis and modeling of turbulent non-reactive and reactive flows based on DNS, LES, RANS, and experiments. A special focus is on fundamentals in turbulence, turbulent reactive flows, turbulent multi-phase flows, modeling and simulation of complex turbulent flows, the interface of numerical algorithms, chemical and physical modeling, as well as high-performance computing with its application to turbulence.

The understanding and control of interfacial phenomena is one of the main challenges in multiphase fluid mechanics, at the crossroads of scientific disciplines like Mathematics, Physics, Chemistry and Engineering. Examples are particle-laden flows, bubble columns, flows with cavitation, jet atomization, casting, oil recovery, film, boiling and foaming flows, as well as spreading and dewetting of (complex) liquids and biofluids. All these systems are central for technological advances in the chemical, pharmaceutical, energy, environmental and food industries. In addition, their behavior depends strongly on the typical time and length scales under consideration that are for example crucial for the development of micro and nano fluidics. In the latter case the validity of continuum fluid mechanics might be even questionable. The goal of this section is to provide an overview of the latest developments in this area, covering models at different scales, numerical, statistical and cognitive methods as well as experimental techniques but also surveying new physical insight and recent technical advancements.

Waves are a ubiquitous natural phenomenon and acoustics are, besides surface water waves, the most obvious representatives, familiar to anybody and quantitatively known to any student of mathematics, physics or a technical subject. To this corresponds a long mathematical tradition, continuing today in the accurate numerical computation of linear and nonlinear wave phenomena. Our session is devoted to the simulation and understanding of waves and wave interactions. The range of applications is thus very broad, while the focus is meant to be on the unifying physical phenomenon. In the past years we had numerous contributions from solid mechanics, porous media flow, turbulence and aeroacoustics, from crack detection to explosions.

Many technical applications involving flows profit from trying to manipulate the boundary conditions or flow parameters in such a way as to generate a desired effect, like reduced drag, increased mixing, attenuated or increased turbulence or reduced sound emission, for example. The sophistication of the governing equations requires a broad range of research topics and methods to be covered, including analytical treatments, reduced-order modelling, passive manipulation of boundaries in experiments involving riblets, active manipulations using actuators, for example, or numerical approaches involving the adjoint equations, amongst others. The speakers of our session reflect the broad application area of flow control and discuss difficulties in the application side and recent advances in the analysis, as well as experimental and numerical approaches.

This session is devoted to the mathematical analysis of natural phenomena and engineering problems. In this area PDEs play a basic role. Therefore lectures discussing analytical aspects of PDE problems as well as problems in the Calculus of Variations are welcome.

The session especially welcomes contributions to the following topics: uncertainty quantification; risk analysis and assessment; Bayesian methods in engineering; decision analysis; stochastic modeling (including spatio-temporal modeling); stochastic mechanics; stochastic algorithms and simulation; stochastic processes (including time series); resampling methods; stochastic networks. Applications to large scaled problems are encouraged.

Optimization is the next natural step after simulation with increasing importance in the future. The aim of this session is to provide the basis of a holistic overview of all areas of optimization. Thus abstracts from both a theoretical as well as an applied perspective are welcome.

The aim of this section is to bring together experts in the field of applied and numerical linear algebra, discussing recent theoretical and algorithmic developments.

For all fields of applications the mathematical models are primarily based on differential equations. Hence, their numerical solution plays a fundamental role in numerical mathematics. This section covers mainly the construction and the behavior of numerical methods for differential equations including those of ordinary as well as of partial differential type.

In this session novel developments devoted to optimization and optimal control problems governed by ordinary or partial differential equations will be discussed. The focus is on theoretical investigations, numerical analysis, algorithmic issues as well as on application.

Dynamics and control is an interdisciplinary section which in particular adresses mathematical systems theory and control engineering. The contributions to this section are also concerned with the mathematical understanding and design of controllers which appear in actual applications.

Over the last decade mathematics has become the cornerstone in Signal and Image processing ranging from various methods for signal reconstruction to modelling of imaging modalities over its classical disciplines compression, denoising, segmentation, and registration to feature extraction. The used methodologies include such diverse fields as harmonic analysis, inverse problems, variational analysis, mathematical statistics, partial differential equations, optimization, approximation theory and sampling theory. The aim of this section is to foster interdisciplinary collaboration and the development of new directions in mathematical signal and image processing spawned from the interaction of various mathematical communities.

Scientific Computing is concerned with the efficient numerical solution of mathematical models from both science and engineering. The field covers a wide range of topics: from mathematical modeling over the development, analysis and efficient implementation of numerical methods and algorithms to software and finally application for the solution of complex real-world problems on modern computing systems. This interdisciplinary field combines approaches from applied mathematics, computer science and a wide range of applications in which in-silico experiments play an increasingly important role.

The session welcomes talks in operator theory, including: differential operators, operator semigroups, spectral and perturbation theory, operators in indefinite inner product spaces, function spaces, general functional analysis and mathematical physics.

This section will provide a forum for the presentation of historical and/or speculative studies on mechanics focusing on the relations between concepts from antiquity up to now, which could be of interest to historians of mechanics and physics as well as researchers in mechanics. The contributions of those authors who have benefited from the study of old theories for developing current models in the field of applied mechanics and mathematics will be also considered. This in order to highlight the importance of historical and epistemological perspective setting for the current and future developments in science. With these aims in mind, topics of applications will include (but are not limited to): -Virtual work laws -Variational methods and conservation principles -Molecular foundation for continuum mechanics -Coarse graining processes and the use of Cauchy-Born rule -Continuum and statistical thermodynamics -Material deformation theories and experimental results in solid mechanics -Inelastic deformations, damage and fracture -Development and use of the Ricci’s tensor calculus in deformation theories of solids, shells and fluids -Mechanical models for ancient constructions