• # ReALE

• Referenced in 99 articles [sw18074]
• based arbitrary-Lagrangian–Eulerian (ALE) method. The main elements in a standard ALE simulation ... explicit Lagrangian phase in which the solution and grid are updated, a rezoning phase ... Lagrangian solution is transferred (conservatively interpolated) onto the new grid. In standard ALE methods...
• # CESE

• Referenced in 11 articles [sw08558]
• Research Center. This method is a novel numerical framework for conservation laws. It has many ... time, the introduction of conservation element (CE) and solution element ... using a Riemann solver. To date, this method has been used to solve many different...
• # PEGASE

• Referenced in 7 articles [sw00697]
• propose a hybrid conservative finite difference/finite element scheme for the solution of the unsteady ... staggered grid, the solution is obtained with a projection method based on the resolution...
• # CartaBlanca

• Referenced in 8 articles [sw01546]
• free Newton-Krylov solution method surrounding a finite-volume treatment of conservation equations. This enables ... grids with triangular, quadrilateral, tetrahedral and hexahedral elements. We also discuss ... Jacobian-free Newton-Krylov nonlinear system solution method and discuss how it fits into...
• # MUSTA

• Referenced in 12 articles [sw09091]
• conservation laws constructed in the framework of finite volume and discontinuous Galerkin finite elements ... scheme achieves the accuracy of the Godunov method used in conjunction with the exact Riemann ... solver, which is the reference first-order method for hyperbolic systems. At least ... solving very complex systems for which the solution of the Riemann problem, in the classical...
• # SHALL 4

• Referenced in 3 articles [sw00007]
• solving the shallow-water equations in conservation-law form. A FORTRAN IV computer program ... this compact fourth-order scheme requires the solution of only either block-tridiagonal or cyclic ... scheme is related to the finite-element method and has a smaller truncation error ... step and were determined to be well conserved during the numerical integration, ensuring that...
• # FLICA-4

• Referenced in 8 articles [sw09187]
• forward in time, a linearized conservative implicit integrating step is used [Yee, H.C., 1987. NASA ... method. We also present here some improvements performed to obtain a fully implicit solution method ... steady state calculations. This kind of numerical method, which is used widely for fluid dynamic ... numerical solution to two-phase flow problems. This numerical method has been implemented...
• # Ocellaris

• Referenced in 2 articles [sw39197]
• cause Gibbs oscillations which quickly destroy the solution. We investigate the use of slope limiters ... conservation properties. The equations are discretised using a symmetric interior-penalty discontinuous Galerkin finite element method that is divergence-free to machine precision. A slope limiter made specifically...