• KANTBP

  • Referenced in 18 articles [sw00482]
  • procedure based on the use of high-order accuracy approximations for calculating approximate eigensolutions...
  • WHAM

  • Referenced in 11 articles [sw18138]
  • numerical scheme that significantly improves the accuracy and robustness of the solution in this regime ... code called wham that converges at fifth order. We avoid (1) field-by-field decomposition ... standard WENO formalism, by maintaining high-order accuracy in smooth monotonic flows. Our scheme performs...
  • SpECTRE

  • Referenced in 5 articles [sw22266]
  • relativistic) shocks are found, while exploiting high-order accuracy in smooth regions. A task-based...
  • XTROEM-FV

  • Referenced in 4 articles [sw41174]
  • Cartesian coordinates. Arbitrary spatial high order of accuracy is achieved with a weighted essentially ... equations are performed and confirm the high-order accuracy of the main reconstruction algorithm...
  • SeisSol

  • Referenced in 2 articles [sw00843]
  • software SeisSol based on the arbitrary high-order Discontinuous Galerkin (DG) Finite-Element method ... model discretization and to account for highly heterogeneous material. In these new approaches we include ... conforming boundaries preserving numerical accuracy while avoiding numerical artifacts due to the mesh coupling ... step scheme which achieves arbitrary high-order accuracy in space and time. We confirm...
  • DynaThinLayer

  • Referenced in 5 articles [sw08738]
  • systems. A high-order thin layer method is developed to improve the accuracy and robustness ... stiffness matrix to the fourth order term. A generalized eigenvalue problem is then formulated, which ... computer program DynaThinLayer. The high-order thin layer method is compared to the thin layer ... terms of accuracy and efficiency. It is shown that the high-order method requires...
  • HOLOMAC

  • Referenced in 14 articles [sw18067]
  • high-order numerical algorithm for DNS of low-Mach-number reactive flows with detailed chemistry ... quasi-spectral accuracy. A novel and efficient algorithm is presented in this paper to deal ... with detailed chemistry and a quasi-spectral accuracy. The temporal integration of the equations relies ... spatial discretisation is performed with high-order compact schemes, and a FFT based constant-coefficient...
  • NURBS

  • Referenced in 24 articles [sw02633]
  • inside an element. In addition, a high-order approximation is considered to allow for large ... geometrical details (without loss of accuracy). Finally, a geometrically implicit/explicit approach is proposed for efficiency...
  • FESSDE

  • Referenced in 1 article [sw00278]
  • coupled-channel Schrodinger equation using high-order accuracy approximations...
  • SEL/HiFi

  • Referenced in 15 articles [sw22337]
  • grid directionality on the accuracy of numerical solutions of a highly anisotropic thermal diffusion equation ... spectral element spatial discretization method. The high-order spectral element macroscopic modeling code SEL/HiFi ... anisotropy is shown to further improve the accuracy of the solution. These effects are qualitatively...
  • LEoPart

  • Referenced in 1 article [sw31302]
  • variational framework, which allows extension to high-order accuracy. In particular, by implementing a dedicated...
  • SPEED

  • Referenced in 32 articles [sw08653]
  • regional scale. Based on non-conforming high-order techniques, such as the discontinuous Galerkin spectral ... Validation benchmarks are illustrated to check the accuracy, stability, and performance features of the parallel...
  • BLAST

  • Referenced in 2 articles [sw27464]
  • BLAST, a high-order finite element hydrodynamics research code that improves the accuracy of simulations ... extreme parallel computing and exascale architectures. High-order finite element methods use additional degrees ... increase the accuracy and robustness of simulations relative to low-order methods, which have historically ... example, in the image above, a very high-order calculation of a multi-material shock...
  • HOPR

  • Referenced in 11 articles [sw36413]
  • high-order numerical methods like Discontinuous Galerkin, Spectral Element Methods or pFEM, in order ... retain their accuracy if the computational domain includes curved boundaries. HOPR has been developed...
  • HLL-2D

  • Referenced in 1 article [sw07510]
  • triangular meshes and with a high-order of accuracy, a multi-dimensional Riemann problem that...
  • meshCurve

  • Referenced in 5 articles [sw33747]
  • curved high-order meshes, based on a geometry reconstruction procedure. Usability and accuracy ... sharp feature edges from the original low-order surface. The upgrade process is automatic ... practitioners and researchers to easily produce quality high-order meshes from existing low-order meshes...
  • ECHO

  • Referenced in 29 articles [sw22269]
  • ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics. We present ... ECHO, based on an Eulerian Conservative High Order scheme for time dependent three-dimensional general ... work at an arbitrary level of formal accuracy (for smooth flows), where the other existing...
  • CANS+

  • Referenced in 4 articles [sw41172]
  • discontinuitues (HLLD) approximate Riemann solver, the fifth-order-monotonicity-preserving interpolation (MP5) scheme ... choice of schemes has significantly improved numerical accuracy and stability, and saved computational costs ... show the advantages of using the high-order scheme by comparing with results from...
  • OpenCMP

  • Referenced in 1 article [sw42101]
  • high-order polynomial interpolants for increased simulation accuracy. OpenCMP also offers the discontinuous Galerkin method...
  • FractionalTimeDG.jl

  • Referenced in 1 article [sw38878]
  • fractional diffusion problems. Paper: Implementation of high-order, discontinuous Galerkin time stepping for fractional diffusion ... quadrature techniques that efficiently maintain the overall accuracy of the dG method. In addition...