Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical analysis and data structures to analyze and solve problems that involve fluid flows. Computers are used to perform the calculations required to simulate the free-stream flow of the fluid, and the interaction of the fluid with surfaces defined by boundary conditions. With high-speed supercomputers, better solutions can be achieved, and are often required to solve the largest and most complex problems. Ongoing research yields software that improves the accuracy and speed of complex simulation scenarios such as transonic or turbulent flows. Initial validation of such software is typically performed using experimental apparatus such as wind tunnels. In addition, previously performed analytical or empirical analysis of a particular problem can be used for comparison. A final validation is often performed using full-scale testing, such as flight tests.
Sir Michael James Lighthill was a British applied mathematician, known for his pioneering work in the field of aeroacoustics and for writing the Lighthill report, which pessimistically stated that "In no part of the field have the discoveries made so far produced the major impact that was then promised", contributing to the gloomy climate of AI winter.
Lloyd Nicholas Trefethen is an American mathematician, professor of numerical analysis and until 2023 head of the Numerical Analysis Group at the Mathematical Institute, University of Oxford.
Thomas Brooke Benjamin, FRS was an English mathematical physicist and mathematician, best known for his work in mathematical analysis and fluid mechanics, especially in applications of nonlinear differential equations.
Philip Geoffrey Saffman FRS was a mathematician and the Theodore von Kármán Professor of Applied Mathematics and Aeronautics at the California Institute of Technology.
Timothy John Pedley is a British mathematician and a former G. I. Taylor Professor of Fluid Mechanics at the University of Cambridge. His principal research interest is the application of fluid mechanics to biology and medicine.
Morton Edward Gurtin was an American mechanical engineer who became a mathematician and mathematical physicist. He was an emeritus professor of mathematical sciences at Carnegie-Mellon University, where for many years he held an endowed chair as the Alumni Professor of Mathematical Science. His main work is in materials science, in the form of the mathematical, rational mechanics of non-linear continuum mechanics and thermodynamics, in the style of Clifford Truesdell and Walter Noll, a field also known under the combined name of continuum thermomechanics. He has published over 250 papers, many among them in Archive for Rational Mechanics and Analysis, as well as a number of books.
Geomathematics is the application of mathematical methods to solve problems in geosciences, including geology and geophysics, and particularly geodynamics and seismology.
John Stewart Turner, FAA, FRS was an Australian geophysicist.
MOOSE is an object-oriented C++ finite element framework for the development of tightly coupled multiphysics solvers from Idaho National Laboratory. MOOSE makes use of the PETSc non-linear solver package and libmesh to provide the finite element discretization.
Raymond Ethan Goldstein FRS FInstP is the Alan Turing Professor of Complex Physical Systems in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge and a Fellow of Churchill College, Cambridge.
Andrew William Woods is an English mathematician who is BP Professor at the University of Cambridge and a professorial fellow of St John's College, Cambridge.
Alan Breach Tayler (1931–1995) was a British applied mathematician and pioneer of "industrial mathematics". He was a Founding Fellow of St Catherine's College, Oxford (1959-1995), the initiator of the Oxford Study Groups with Industry in 1968, a driving force behind the foundation of the European Consortium for Mathematics in Industry (ECMI) in 1985 and President of ECMI (1989), and the first Director of the Oxford Centre for Industrial and Applied Mathematics (OCIAM) (1989–1994).
The Gold Medal of the Institute of Mathematics and its Applications (IMA) is a biennial prize established in 1982 by the IMA "in recognition of outstanding contributions to mathematics and its applications over a period of years". These contributions may take several different forms, including "the building up of a research group of exceptional merit", "notable contributions to the application of mathematical techniques" or "outstanding contributions to the improvement of the teaching of mathematics".
Hilary Ockendon is a British mathematician who worked at the University of Oxford until retirement in 2008. Her research focuses on applications of mathematics with a particular interest in continuum models for industrial problems. She is an emeritus fellow of Somerville College, Oxford, the former president of the European Consortium for Mathematics in Industry, and the author of multiple books on fluid dynamics. She is an expert on problems in fluid dynamics, such as the reduction of sloshing in coffee cups.
Jean-Marc Vanden-Broeck is a UK mathematician of Belgian origin. He is a Professor of Applied Mathematics at the University College, London.
Eduard Feireisl is a Czech mathematician.
Frank Thomas Smith is Emeritus Goldsmid Professor in the department of mathematics in the University College London, a specialist in fluid mechanics.
Russell Keanini is an American mechanical engineer, mathematician, physicist, and academic. He is a professor of Mechanical Engineering and Engineering Science at the William States Lee College of Engineering of the University of North Carolina at Charlotte. He is the recipient of the 2020 Kirk Bryan Award for his contributions to the field of Quaternary geology.
