A Riemann solver is a numerical method used to solve a Riemann problem. They are heavily used in computational fluid dynamics and computational magnetohydrodynamics...
7 KB (892 words) - 17:31, 4 August 2023
integral Riemann multiple integral Riemann invariant Riemann mapping theorem Measurable Riemann mapping theorem Riemann problem Riemann solver Riemann sphere...
4 KB (287 words) - 19:15, 29 November 2023
{\displaystyle P_{L}^{\ast }=P_{R}^{\ast }=P^{\ast }} , a linearized Riemann solver for smooth flows or with only moderately strong shocks can be written...
70 KB (9,777 words) - 07:35, 19 July 2024
In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers...
126 KB (16,771 words) - 06:08, 27 August 2024
Hyperbolic Problems. Cambridge: Cambridge University Press. ISBN 0-521-81087-6. Computational fluid dynamics Computational magnetohydrodynamics Riemann solver...
5 KB (988 words) - 14:49, 29 October 2023
The Roe approximate Riemann solver, devised by Phil Roe, is an approximate Riemann solver based on the Godunov scheme and involves finding an estimate...
3 KB (411 words) - 19:25, 12 March 2024
Georg Friedrich Bernhard Riemann (German: [ˈɡeːɔʁk ˈfʁiːdʁɪç ˈbɛʁnhaʁt ˈʁiːman] ; 17 September 1826 – 20 July 1866) was a German mathematician who made...
26 KB (2,966 words) - 07:18, 20 August 2024
complex analysis in mathematics, the Cauchy–Riemann equations, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential...
33 KB (4,941 words) - 16:03, 29 August 2024
In mathematics, a Riemann sum is a certain kind of approximation of an integral by a finite sum. It is named after nineteenth century German mathematician...
21 KB (3,414 words) - 06:59, 17 July 2024
Riemann solver, following which the solutions are averaged and used to advance the solution in time. Alternatively, the fluxes can be used in Riemann-solver-free...
25 KB (4,484 words) - 06:27, 8 April 2024
Godunov scheme requires the definition of an approximate, or an exact Riemann solver, but in its most basic form, is given by: Q i n + 1 = Q i n − λ ( f...
8 KB (1,456 words) - 09:00, 17 July 2023
processes. Create a discrete mathematical model of the system. Numerically solve the model. Process the resulting data. Mathematical models used in multiphysics...
6 KB (501 words) - 14:57, 5 August 2024
Computational physics is the study and implementation of numerical analysis to solve problems in physics. Historically, computational physics was the first application...
14 KB (1,395 words) - 22:11, 21 July 2024
Millennium Prize Problems (section Riemann hypothesis)
conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture...
24 KB (2,654 words) - 01:24, 13 August 2024
hyperbolic conservation laws. He has developed approximate Riemann solver called Roe solver for compressible flows with shocks. After completing his education...
3 KB (221 words) - 17:14, 20 February 2021
Christine M.; Hauser, Thomas (2021). "Performance comparison of CFD-DEM solver MFiX-Exa, on GPUs and CPUs". arXiv:2108.08821 [cs.DC]. Wu, Kui; Truong,...
67 KB (8,530 words) - 12:49, 19 August 2024
difference Finite volume Finite element Boundary element Lattice Boltzmann Riemann solver Dissipative particle dynamics Smoothed particle hydrodynamics Turbulence...
22 KB (3,194 words) - 19:02, 15 June 2024
obtain numerical results. The underlying concept is to use randomness to solve problems that might be deterministic in principle. The name comes from the...
86 KB (9,805 words) - 16:35, 1 August 2024
(collectively exhaustive). Analysts may use robust statistical measurements to solve certain analytical problems. Hypothesis testing is used when a particular...
86 KB (9,552 words) - 09:31, 30 July 2024
Integral (section Riemann integral)
rigorously formalized, using limits, by Riemann. Although all bounded piecewise continuous functions are Riemann-integrable on a bounded interval, subsequently...
68 KB (9,235 words) - 12:25, 23 August 2024
computational fluid codes, like Riemann solvers, and was heavily investigated by Sod in 1978. The test consists of a one-dimensional Riemann problem with the following...
4 KB (782 words) - 20:15, 15 November 2022
In mathematics, Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential...
24 KB (3,709 words) - 10:00, 18 August 2024
In complex analysis, the Riemann mapping theorem states that if U {\displaystyle U} is a non-empty simply connected open subset of the complex number...
44 KB (7,457 words) - 11:01, 6 August 2024
Computational Fluid Dynamics Award 2023 – Order of Alexander Nevsky Riemann solver Total variation diminishing Upwind scheme В Новосибирске скончался выдающийся...
6 KB (482 words) - 00:35, 30 April 2024
numbers (The "Riemann Hypothesis"). 9. Proof of the most general law of reciprocity in any number field. 10. Determination of the solvability of a Diophantine...
40 KB (3,673 words) - 05:17, 14 August 2024
Riemann invariants are mathematical transformations made on a system of conservation equations to make them more easily solvable. Riemann invariants are...
8 KB (1,430 words) - 04:11, 23 August 2023
developed non-oscillatory interpolation using limiters, an approximate Riemann solver, and discontinuous-Galerkin schemes for unsteady advection. Since joining...
34 KB (4,140 words) - 04:59, 26 December 2023
difference Finite volume Finite element Boundary element Lattice Boltzmann Riemann solver Dissipative particle dynamics Smoothed particle hydrodynamics Turbulence...
88 KB (10,636 words) - 21:18, 8 July 2024
important class of high-resolution schemes belongs to the approximate Riemann solvers proposed by Roe and by Osher. The schemes proposed by Jameson and Baker...
8 KB (1,166 words) - 14:32, 12 July 2023
derivatives (fluxes) in order to avoid spurious oscillations Riemann solver — a solver for Riemann problems (a conservation law with piecewise constant data)...
70 KB (8,336 words) - 05:14, 24 June 2024