Quantifying Model Discrepancy in Coupled Multi-Physics Systems

2016 ◽  
Author(s):  
Samuel Friedman ◽  
Douglas Allaire
Keyword(s):  
Computational Models ◽  
Detailed Balance ◽  
Sampling Strategy ◽  
Design Strategies ◽  
Detailed Balance Condition ◽  
Synergistic Interactions ◽  
Novel Approach ◽  
Current Design ◽  
Model Discrepancy ◽  
Multidisciplinary System

Current design strategies for multi-physics systems seek to exploit synergistic interactions among disciplines in the system. However, when dealing with a multidisciplinary system with multiple physics represented, the use of high-fidelity computational models is often prohibitive. In this situation, recourse is often made to lower fidelity models that have potentially significant uncertainty associated with them. We present here a novel approach to quantifying the discipline level uncertainty in coupled multi-physics models, so that these individual models may later be used in isolation or coupled within other systems. Our approach is based off of a Gibbs sampling strategy and the identification of a necessary detailed balance condition that constrains the possible characteristics of individual model discrepancy distributions. We demonstrate our methodology on both a linear and nonlinear example problem.

scholarly journals Revisit on the thermodynamic stability of Hořava–Lifshitz black hole

2018 ◽  
Vol 27 (04) ◽  
pp. 1850048
Author(s):  
Xudong Meng ◽  
Ruihong Wang
Keyword(s):  
Black Hole ◽  
Thermodynamic Properties ◽  
Thermodynamic Stability ◽  
Detailed Balance ◽  
De Sitter ◽  
Thermodynamic Variable ◽  
Detailed Balance Condition ◽  
First Law Of Thermodynamics ◽  
Balance Condition ◽  
Lifshitz Black Hole

We study the thermodynamic properties of the black hole derived in Hořava–Lifshitz (HL) gravity without the detailed-balance condition. The parameter [Formula: see text] in the HL black hole plays the same role as that of the electric charge in the Reissner–Nordström-anti-de Sitter (RN-AdS) black hole. By analogy, we treat the parameter [Formula: see text] as the thermodynamic variable and obtain the first law of thermodynamics for the HL black hole. Although the HL black hole and the RN-AdS black hole have the similar mass and temperature, due to their very different entropy, the two black holes have very different thermodynamic properties. By calculating the heat capacity and the free energy, we analyze the thermodynamic stability of the HL black hole.

scholarly journals From Wearing Off to Wearing On: The Meanders of Wearer–Clothing Relationships

2020 ◽  
Vol 12 (18) ◽  
pp. 7264 ◽  
Author(s):  
Ana Neto ◽  
João Ferreira
Keyword(s):  
Fashion Industry ◽  
Design Strategies ◽  
Human Relationships ◽  
Research Perspective ◽  
Love Relationships ◽  
Production And Consumption ◽  
Current Design ◽  
Wearing Off ◽  
Negative Impacts

The current patterns of production and consumption of clothes are known for their negative impacts on our planet, and the efforts towards a responsible fashion system must come from industry and users alike. Whereas the fashion industry may focus on achieving eco-efficiency, designers need to engage the wearers in long-term commitment with their clothes to counteract the ongoing increase of textile waste. However, current design strategies for product attachment have proven that it is difficult to succeed at this mission. In this paper we introduce the focus and theoretical framework of a research project that aims to study the relationship between wearers and clothes. We present our research perspective through a literature review that is supported by empirical testimonies of dozens of women, whose words illustrate the complexity of human relationships with garments. When we compare our connection with clothes to interpersonal love relationships, we find that the similarities are significant enough to justify a different approach in design practice, and we suggest a re-focus on the existing wearer–clothing relationships.

scholarly journals Coiled-Coils: The Molecular Zippers that Self-Assemble Protein Nanostructures

2020 ◽  
Vol 21 (10) ◽  
pp. 3584 ◽  
Author(s):  
Won Min Park
Keyword(s):  
Modular Design ◽  
Coiled Coil ◽  
Molecular Complexes ◽  
Building Blocks ◽  
Structural Features ◽  
Coiled Coils ◽  
Design Strategies ◽  
Protein Motifs ◽  
Self Assembling ◽  
Current Design

Coiled-coils, the bundles of intertwined helical protein motifs, have drawn much attention as versatile molecular toolkits. Because of programmable interaction specificity and affinity as well as well-established sequence-to-structure relationships, coiled-coils have been used as subunits that self-assemble various molecular complexes in a range of fields. In this review, I describe recent advances in the field of protein nanotechnology, with a focus on programming assembly of protein nanostructures using coiled-coil modules. Modular design approaches to converting the helical motifs into self-assembling building blocks are described, followed by a discussion on the molecular basis and principles underlying the modular designs. This review also provides a summary of recently developed nanostructures with a variety of structural features, which are in categories of unbounded nanostructures, discrete nanoparticles, and well-defined origami nanostructures. Challenges existing in current design strategies, as well as desired improvements for controls over material properties and functionalities for applications, are also provided.

A Validation Study of Disability Simulation Suit Usage as a Proxy for Customer Need Statements From Persons With Disabilities

2015 ◽  
Author(s):  
Jessica Armstrong ◽  
Rob Stone ◽  
Sebastian Immel ◽  
Katharine Hunter-Zaworski
Keyword(s):  
Product Design ◽  
Design Strategies ◽  
Persons With Disabilities ◽  
Customer Needs ◽  
Modular Product ◽  
Novel Approach ◽  
Empathic Design ◽  
Current Product ◽  
Disability Simulation ◽  
Design Experience

Current product design methodologies do not typically address the creation of inclusive products (products that meet the needs of persons with and without disabilities). In this paper, empathic design principles and modular product design strategies are explored as part of a novel approach to inclusive design. The use of disability simulation as a data collection methodology both increases the safety and ease by which customer needs can be gathered and gives designers an empathic design experience with the products they develop. A disability simulation suit is designed to support empathic gathering of customer needs. The suit is subjected to validation trials to determine how accurately it mimics the physical and perceptual behaviors of persons with disabilities in users of the suit. Initial results show that the disability simulation suit provides a valid empathic design experience that yields similar customer needs and reduced dexterity as persons with disabilities.

Resource Allocation for Reduction of Epistemic Uncertainty in Simulation-Based Multidisciplinary Design

2015 ◽  
Author(s):  
Zhen Jiang ◽  
Shishi Chen ◽  
Daniel W. Apley ◽  
Wei Chen
Keyword(s):  
Resource Allocation ◽  
Epistemic Uncertainty ◽  
Complex Structure ◽  
Simulation Models ◽  
Multidisciplinary Design ◽  
Input Space ◽  
Novel Approach ◽  
Critical Responses ◽  
Reliable Design ◽  
Multidisciplinary System

Epistemic model uncertainty is a significant source of uncertainty that affects a multidisciplinary system. In order to achieve a reliable design, it is critical to ensure that the disciplinary/subsystem simulation models are trustworthy, so that the aggregated uncertainty of system quantities of interest (QOIs) is acceptable. Uncertainty reduction can be achieved by gathering additional experiments and simulations data; however resource allocation for multidisciplinary design optimization (MDO) remains a challenging task due to the complex structure of a multidisciplinary system. In this paper, we develop a novel approach by integrating multidisciplinary uncertainty analysis (MUA) and multidisciplinary statistical sensitivity analysis (MSSA) to answer the questions about where (sampling locations), what (disciplinary responses), and which (simulations versus experiments) for allocating more resources. To manage the complexity in making the above decisions, a sequential procedure is proposed. First, the input space of a multidiscipline system is explored to identify the locations with unacceptable amounts of uncertainty with respect to the system QOIs. Next, these input locations are selected through a correlation check so that they are sparsely located in the input space, and their corresponding critical responses are identified based on MSSA. Finally, using a preposterior analysis, decisions are made about what type of resources (experimental or computational) should be allocated to the critical responses at the chosen input locations. The proposed method is applied to a benchmark electronic packaging problem to demonstrate how epistemic uncertainty is gradually reduced via gathering more data.

TWO-PHOTON ABSORPTION AND EMISSION PROCESS

2005 ◽  
Vol 08 (04) ◽  
pp. 573-591 ◽  
Author(s):  
FRANCO FAGNOLA ◽  
ROBERTO QUEZADA
Keyword(s):  
Detailed Balance ◽  
Photon Absorption ◽  
Positive Temperature ◽  
Stationary States ◽  
Emission Process ◽  
Absorption And Emission ◽  
Detailed Balance Condition ◽  
Two Photon Absorption ◽  
Two Photon ◽  
Invariant States

We analyze the two-photon absorption and emission process and characterize the stationary states at zero and positive temperature. We show that entangled stationary states exist only at zero temperature and, at positive temperature, there exists infinitely many commuting invariant states satisfying the detailed balance condition.

A Novel Approach for MEMS Vacuum Packaging

2013 ◽  
Vol 744 ◽  
pp. 169-173
Author(s):  
Cheng Gang Wang ◽  
Zhi Yin Gan ◽  
Xue Fang Wang ◽  
Dong Lin ◽  
Sheng Liu ◽  
...  
Keyword(s):  
Vacuum Packaging ◽  
Leak Rate ◽  
Packaging Process ◽  
Novel Approach ◽  
Current Design

MEMS vacuum packaging now is the impediment of the MEMS appliance in some specified fields. The major problem of current packaging approach is that the packaging process can not match the requirement of the ultra low leak. But the process now can not be improved with the existing technology. In this situation, authors proposed a novel approach for MEMS vacuum packaging, which can remarkably lower the leak rate. This paper analyzed the vacuum maintaining time of the vacuum packaging and compared the current design and new packaging method.

Convergence of Markov chains in the relative supremum norm

2000 ◽  
Vol 37 (4) ◽  
pp. 1074-1083 ◽  
Author(s):  
Lars Holden
Keyword(s):  
Markov Chain ◽  
Detailed Balance ◽  
Continuity Condition ◽  
Supremum Norm ◽  
Weak Continuity ◽  
Norm Convergence ◽  
Detailed Balance Condition ◽  
Balance Condition ◽  
Qualitative Understanding ◽  
Doeblin Condition

It is proved that the strong Doeblin condition (i.e., ps(x,y) ≥ asπ(y) for all x,y in the state space) implies convergence in the relative supremum norm for a general Markov chain. The convergence is geometric with rate (1 - as)1/s. If the detailed balance condition and a weak continuity condition are satisfied, then the strong Doeblin condition is equivalent to convergence in the relative supremum norm. Convergence in other norms under weaker assumptions is proved. The results give qualitative understanding of the convergence.

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