Mathematical models and computer simulations are applied to estimate the forces and moments acting on a body due to its movement through air. Incompressible and compressible flows, turbulence and boundary layers are aspects that are usually analysed. Such analysis is essential when designing aircrafts and vehicles.
The required material’s mechanical properties and component design are computed by applying mathematical models and computer simulations. The analysis helps avoid a failure due to loading leading to fracture, deformation, or fatigue.
Stresses and deformations on structures due to fluid flow generated forces are analysed. Both stable and oscillatory interactions are of interest. Such analysis is crucial while designing many different components, e.g., aircraft wings, turbine blades.
The acoustic analysis of mechanical waves in gases, liquids and solids is carried out by applying mathematical models and computer simulations. The applications are various and may include aeroacoustics, architectural acoustics, environmental noise, ultrasonics, vibration and dynamics.
Generation, conversion, transfer and use of thermal energy are estimated using mathematical models and computer simulations. This may include, among other applications, thermal management in electronics, cooling, heat exchangers, energy efficiency in buildings, thermal medicine.
The economic impact of corrosion is much greater than usually anticipated. Understanding the corrosion process is the first step towards finding an effective solution for this problem. Ascend Technologies applies mathematical models and computer simulations to analyse electrochemical corrosion processes, including, galvanic, pitting, and crevice corrosion.
There are situations that the recommended practices, such as DNV and ISO, do not address the design of Cathodic Protection systems. In such cases, mathematical models and computer simulations are applied to the design of Cathodic Protection systems, either for Pipelines, Structures or Vessels, considering the properties of the environment and the materials involved, which leads to a safe and optimised design. These cases may include shielding effects, attenuations due to close proximities of anodes, interaction effect due to different Cathodic Protection systems or proximity of structures with different Cathodic Protection systems.
Solid-state physics and quantum chemistry rely on appropriate mathematical models and computer simulations to achieve the required results. Methods applied include First Principles Techniques, e.g., Density Functional Theory, or k.p models, which are used for optimisation of semiconductor nanostructures.
Models from physics, engineering and mathematics combined with computer simulations are employed for studying biological systems. The applications may include ultrasound diagnostics and therapy, modelling of blood flow, biomechanical analysis, drug delivery, physiologically based pharmacokinetics (PBPK), thermal medicine.
While in some cases products can be personalized based on customer’s preferences, in some cases the customers don’t know beforehand what would work best in their case. Data Analysis and Machine Learning are applied to customer’s data including biomarkers leading to personalised medicine based on predicted response or risk of disease.
Decision support systems (DSS) can be developed for various applications. DSS contain the current knowledge in the field and can be integrated with modelling tools that can help the decision maker predict future states and analyse “what if” scenarios. It can significantly shorten the required decision-making time and can improve the decision accuracy.
Data Mining is a set of methods used to discover patterns and relationships in large data sets, leading to extraction of new and useful information. Some of the tasks of data mining are, anomaly detection, association rule learning, clustering, classification. Some of the applications of data mining include bio-informatics, research analysis, manufacturing engineering, market basket analysis, healthcare, customer segmentation, fraud detection, financial banking.
Statistics provides the tools for datasets analysis. While there are similarities between Data Mining and Statistical Analysis, e.g., both aiming at turning data into information, the main differences are in the tools used. Some of the fields of applications of Statistical Analysis include social sciences, biostatistics, engineering statistics, business statistics, medical statistics.
Risk Assessment could be qualitative, semi-quantitative, quantitative deterministic and quantitative probabilistic. While moving from qualitative towards quantitative probabilistic approach the decision-making utility increases, the required resources and data requirements increase as well. Quantitative Risk Assessment (QRA) usually involves several steps, including, hazard identification or identification of adverse effects, hazard characterization or who might be harmed and how, exposure assessment or probability of occurrence, and finally risk characterization which gives the probability for occurrence of adverse effects, which then could be compared to the acceptable risk levels. Risk Assessment is important in a wide range of fields, like for example, public health, project management, environment, banking systems, engineering.