• HLLE

  • Referenced in 638 articles [sw06605]
  • approximate solution to the Riemann problem, which is only based on the integral form...
  • HLLC

  • Referenced in 65 articles [sw06530]
  • exact solution of the Riemann problem. In particular, stationary contact waves are resolved exactly...
  • LMFDB

  • Referenced in 162 articles [sw07249]
  • Dollar Millennium Problems deal with properties of these functions, namely the Riemann Hypothesis...
  • FIVER

  • Referenced in 19 articles [sw18341]
  • method based on exact two-phase Riemann problems and sparse grids for multi-material flows ... local, exact, two-phase Riemann problem, (c) the algebraic solution of this auxiliary problem when ... solution of this two-phase Riemann problem using sparse grid tabulations otherwise. The proposed computational...
  • GFORCE

  • Referenced in 22 articles [sw06607]
  • approach, the solution of the Riemann problem in the conventional sense is avoided. Both...
  • WhiskyMHD

  • Referenced in 16 articles [sw01983]
  • range from the solution of relativistic Riemann problems in flat spacetime, over to the stationary...
  • MUSTA

  • Referenced in 12 articles [sw09091]
  • which the solution of the Riemann problem, in the classical sense, is too complex...
  • rogue-waves

  • Referenced in 19 articles [sw32953]
  • solution using numerical methods for solving Riemann-Hilbert problems. In a certain transitional region...
  • RHPackage

  • Referenced in 13 articles [sw11808]
  • computing solutions to matrix-valued Riemann–Hilbert problems. Examples include computing Cauchy and Hilbert transforms...
  • CLAWPACK

  • Referenced in 138 articles [sw01069]
  • applications. These finite volume methods require a “Riemann solver” to resolve the jump discontinuity ... Recent extensions allow the solution of hyperbolic problems that are not in conservation form...
  • QGDFoam

  • Referenced in 5 articles [sw24943]
  • tested for a range of 1D Riemann problems and 2D cases, comparing results with analytic...
  • brnoeth.lib

  • Referenced in 8 articles [sw10905]
  • Brill-Noether algorithm for solving the Riemann-Roch problem and applications in Algebraic Geometry codes...
  • MFC

  • Referenced in 4 articles [sw34768]
  • high-order interface-capturing methods, HLL-type Riemann solvers, and TVD time-integration schemes that ... shock-droplet, and shock-water-cylinder interaction problems and verified to be free of spurious ... material-interface advection and gas-liquid Riemann problems. For smooth solutions, such as the advection...
  • GEOCLAW

  • Referenced in 42 articles [sw08626]
  • Adaptive finite volume methods with well-balanced Riemann solvers for modeling floods in rugged terrain ... block-structured AMR makes large-scale problems tractable, and allows the use of accurate ... stable methods developed for solving general hyperbolic problems on quadrilateral grids. Features indicative of flooding ... challenges and require modifications such as special Riemann solvers. A well-balanced Riemann solver...
  • solver_heterogeneous_creeping_ctm

  • Referenced in 3 articles [sw23319]
  • creeping phase. The solution to the Riemann problem is obtained by investigating the elementary waves ... proposed Riemann solver, the solution to the Cauchy problem is constructed using wavefront tracking. Numerical...
  • SPRINT2D

  • Referenced in 25 articles [sw00904]
  • both space and time. The class of problems solved includes systems of parabolic, elliptic ... equations; for the latter by use of Riemann-solver-based methods. This article describes ... solution procedure for a Burgers’ equations problem, an electrostatics problem from elastohydrodynamic lubrication...
  • MultiRP

  • Referenced in 1 article [sw20860]
  • exact multi-material Riemann solvers. The Riemann problem is a kind of initial value problem ... conservation laws. The solution of the Riemann problem has its applications, which cover the flux ... field. Based on the single-material Riemann problem, multi-material Riemann problem can describe ... Riemann problem with different equations of state (EOS) or constitutive models. In this work...
  • SeisSol

  • Referenced in 2 articles [sw00843]
  • solution of Arbitrary accuracy DErivatives Riemann problems (ADER) still provides an explicit, one-step scheme...
  • HLL-2D

  • Referenced in 1 article [sw07510]
  • order of accuracy, a multi-dimensional Riemann problem that appears when solving hyperbolic problems ... This solver is based upon the Riemann problem generated at the centre of gravity ... solve this problem, approximately. A first-order version of the bi-dimensional Riemann solver...
  • Riegeom

  • Referenced in 16 articles [sw00805]
  • problem of the cyclic symmetric and the dimension dependent relations of Riemann tensor polynomials. There...