astronomy

Philip L. Roe

Philip L. Roe is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Philip L. Roe rather than just read about it. In short: Philip L. Roe (4 May 1938 – 26 April 2026) was an English dynamicist who was Professor of Aerospace Engineering at the University of Michigan in Ann Arbor.

Key takeaways

Philip L. Roe belongs to astronomy; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Philip L. Roe to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Philip L. Roe from memory before moving on to harder problems.

Reference excerpt

Philip L. Roe (4 May 1938 – 26 April 2026) was an English dynamicist who was Professor of Aerospace Engineering at the University of Michigan in Ann Arbor. He is known for his work in the field of Computational Fluid Dynamics and Magnetohydrodynamics. Roe made fundamental contributions to the development of high-resolution schemes for hyperbolic conservation laws. Roe developed approximate Riemann solver called Roe solver for compressible flows with shocks.

Life and career After completing his education at Cambridge University, United Kingdom, Roe worked for the Royal Aircraft Establishment from 1962 to 1984. Initially he worked in the field of missile aerodynamics and later shifted to CFD and devised the Roe solver for numerical computation of compressible flows with shocks. He published this work in the seminal paper titled "Approximate Riemann solvers, parameter vectors, and difference schemes" which appeared in the Journal of Computational Physics in 1981. In 1984, Phil Roe left Royal Aircraft Establishment and joined Cranfield University. Subsequently, in 1990 he moved to the University of Michigan where he was a Professor of Aerospace Engineering. Roe died on 26 April 2026, at the age of 87.

Contributions Roe's most celebrated contribution is the development of the Roe solver, an approximate Riemann solver for the numerical computation of compressible flows with shocks, introduced in his 1981 paper in the Journal of Computational Physics. The scheme, commonly known as the "Roe flux" or "Roe scheme," has been cited more than 14,000 times and remains a standard method in specialised CFD textbooks across a wide variety of disciplines. Roe was also a pioneer of upwind-differencing methods for CFD, contributing to a class of methods that remain dominant for problems in fluid mechanics and related fields. He was one of the originators of the waverider concept for hypersonic flight, in which a vehicle is specifically designed so as to ride atop the shock waves generated by its own leading edges. In the final stage of his career, Roe developed the Active Flux method, a new third-order accurate CFD approach that moves beyond conventional Riemann-solver-based methods by using both cell-average and point-value degrees of freedom with an exact evolution operator. The method has inspired research groups in mathematics, physics, and engineering worldwide. He served as Editor-in-Chief of the Journal of Computational Physics from 1992 to 1994, and as William Penney Visiting Professor at Cambridge University from 2008 to 2016.

Awards and honours Roe received the NASA Group Achievement Award in 1992. He was elected a Fellow of the American Institute of Aeronautics and Astronautics (AIAA) in 1996. In 2015, he received the AIAA Fluid Dynamics Award, which is presented annually for outstanding contributions to the understanding of the behaviour of liquids and gases in motion as related to aeronautics and astronautics.

Selected publications Roe, P. L. (1981), "Approximate Riemann solvers, parameter vectors, and difference schemes", J. Comput. Phys., 43 (2): 357–372, Bibcode:1981JCoPh..43..357R, doi:10.1016/0021-9991(81)90128-5 Roe, P. L. (1986), "Characteristic-Based Schemes for the Euler Equations", Annu. Rev. Fluid Mech., 18: 337–365, Bibcode:1986AnRFM..18..337R, doi:10.1146/annurev.fl.18.010186.002005 Starinshak, D. P.; Karni, S.; Roe, P. L. (2014), "A new level set model for multimaterial flows", J. Comput. Phys., 262: 116–131, doi:10.1016/j.jcp.2013.12.036 Roe, P. L. (2017), "Is Discontinuous Reconstruction Really a Good Idea?", J. Sci. Comput., 73: 1094–1114, doi:10.1007/s10915-017-0555-z Barsukow, W.; Hohm, J.; Klingenberg, C.; Roe, P. L. (2019), "The Active Flux Scheme on Cartesian Grids and Its Low Mach Number Limit", J. Sci. Comput., 81: 594–622, doi:10.1007/s10915-019-01031-z Roe, P. L. (2021), "My Way—A Computational Autobiography", Commun. Appl. Math. Comput., 3: 85–110, doi:10.1007/s42967-020-00064-8 Roe, P. L. (2024), "Musings of a Computational Philosopher", Commun. Appl. Math. Comput., doi:10.1007/s42967-024-00425-3

References

Illustrations

Worked examples

Example 1 — a first encounter with Philip L. Roe

Start with the simplest possible case. Write down what Philip L. Roe claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Philip L. Roe before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Philip L. Roe ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Philip L. Roe

In research: Philip L. Roe appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Philip L. Roe in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Philip L. Roe is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, 2026 deaths, Computational fluid dynamicists, so understanding it makes those chapters shorter.
In everyday life: Look for Philip L. Roe outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Philip L. Roe in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Philip L. Roe means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Philip L. Roe out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Philip L. Roe in simple terms?

Philip L. Roe (4 May 1938 – 26 April 2026) was an English dynamicist who was Professor of Aerospace Engineering at the University of Michigan in Ann Arbor.

Why does Philip L. Roe matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Philip L. Roe?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Philip L. Roe.