H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 54 Citations 25,503 148 World Ranking 414 National Ranking 219

Research.com Recognitions

Awards & Achievements

2009 - SIAM Fellow For contributions to adaptive and numerical methods for partial differential equations in science and engineering.

2004 - Member of the National Academy of Sciences

2002 - SIAM/ACM Prize in Computational Science and Engineering For the development of mathematical methods and computer science tools for science and engineering, including adaptive mesh refinement software, and for their application to the solution of a wide variety of physical problems in fluid dynamics, shock wave theory, combustion and astrophysics.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Thermodynamics
  • Geometry

Phillip Colella mainly focuses on Mathematical analysis, Godunov's scheme, Adaptive mesh refinement, Conservation law and Flow. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Projection method, Riemann solver and Inviscid flow. His Godunov's scheme research integrates issues from Solid mechanics, Partial differential equation, Compressibility and Classical mechanics.

His Adaptive mesh refinement research includes themes of Discretization, Grid and Parallel computing. His Conservation law research is multidisciplinary, relying on both Hyperbolic partial differential equation and Discontinuity. Many of his studies on Flow apply to Applied mathematics as well.

His most cited work include:

  • The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations (3177 citations)
  • The numerical simulation of two-dimensional fluid flow with strong shocks (2060 citations)
  • Local adaptive mesh refinement for shock hydrodynamics (2038 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Adaptive mesh refinement, Mathematical analysis, Applied mathematics, Discretization and Godunov's scheme. His Adaptive mesh refinement research also works with subjects such as

  • Grid which intersects with area such as Algorithm,
  • Compressible flow that intertwine with fields like Computational fluid dynamics. The Mathematical analysis study combines topics in areas such as Projection method, Compressibility, Inviscid flow, Classical mechanics and Boundary.

Phillip Colella combines subjects such as Flow, Fluid dynamics and Interpolation with his study of Applied mathematics. His Discretization research is multidisciplinary, incorporating perspectives in Numerical analysis, Boundary value problem, Regular grid, Computation and Finite volume method. Phillip Colella studies Godunov's theorem which is a part of Godunov's scheme.

He most often published in these fields:

  • Adaptive mesh refinement (31.71%)
  • Mathematical analysis (29.76%)
  • Applied mathematics (20.49%)

What were the highlights of his more recent work (between 2009-2019)?

  • Adaptive mesh refinement (31.71%)
  • Finite volume method (11.22%)
  • Applied mathematics (20.49%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Adaptive mesh refinement, Finite volume method, Applied mathematics, Mathematical analysis and Discretization. His Adaptive mesh refinement study incorporates themes from Grid, Mathematical optimization and Algorithm. His biological study spans a wide range of topics, including Phase space, Conservation form, Statistical physics, Conservation law and Cartesian coordinate system.

The study incorporates disciplines such as Vlasov equation, Maxwell's equations and Interpolation in addition to Applied mathematics. The concepts of his Mathematical analysis study are interwoven with issues in Boundary and Compressibility. His Discretization study combines topics in areas such as Flow, Computation, Navier stokes and Hierarchy.

Between 2009 and 2019, his most popular works were:

  • THE PLUTO CODE FOR ADAPTIVE MESH COMPUTATIONS IN ASTROPHYSICAL FLUID DYNAMICS (320 citations)
  • A HIGH-ORDER FINITE-VOLUME METHOD FOR CONSERVATION LAWS ON LOCALLY REFINED GRIDS (115 citations)
  • A survey of high level frameworks in block-structured adaptive mesh refinement packages (72 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Thermodynamics
  • Geometry

Phillip Colella mainly investigates Adaptive mesh refinement, Finite volume method, Mathematical analysis, Mathematical optimization and Discretization. His studies in Adaptive mesh refinement integrate themes in fields like Set, Interpolation, Grid, Applied mathematics and Algorithm. His study looks at the intersection of Finite volume method and topics like Cartesian coordinate system with Order of accuracy, Boundary value problem and Cubic function.

His Mathematical analysis research incorporates themes from Thermal conduction and Boundary. Divergence, System of linear equations and Vector field is closely connected to Conservation law in his research, which is encompassed under the umbrella topic of Mathematical optimization. His Discretization study frequently links to other fields, such as Flow.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations

Phillip Colella;Paul R Woodward.
Journal of Computational Physics (1984)

5075 Citations

Local adaptive mesh refinement for shock hydrodynamics

M. J. Berger;P. Colella.
Journal of Computational Physics (1989)

3316 Citations

The numerical simulation of two-dimensional fluid flow with strong shocks

Paul Woodward;Phillip Colella.
Journal of Computational Physics (1984)

3175 Citations

A second-order projection method for the incompressible navier-stokes equations

John B Bell;Phillip Colella;Harland M Glaz.
Journal of Computational Physics (1989)

1535 Citations

Multidimensional upwind methods for hyperbolic conservation laws

Phillip Colella.
Journal of Computational Physics (1990)

1090 Citations

An Adaptive Level Set Approach for Incompressible Two-Phase Flows

Mark Sussman;Ann S Almgren;John B Bell;Phillip Colella.
Journal of Computational Physics (1999)

799 Citations

On the hydrodynamic interaction of shock waves with interstellar clouds. 1: Nonradiative shocks in small clouds

Richard I. Klein;Christopher F. Mckee;Philip Colella.
The Astrophysical Journal (1994)

735 Citations

Efficient Solution Algorithms for the Riemann Problem for Real Gases

Phillip Colella;Harland M Glaz.
Journal of Computational Physics (1985)

690 Citations

Titanium: a high-performance Java dialect

Katherine A. Yelick;Katherine A. Yelick;Luigi Semenzato;Luigi Semenzato;Geoff Pike;Geoff Pike;Carleton Miyamoto;Carleton Miyamoto.
Concurrency and Computation: Practice and Experience (1998)

686 Citations

A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations

Ann S. Almgren;John B. Bell;Phillip Colella;Louis H. Howell.
Journal of Computational Physics (1998)

650 Citations

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