Found 102 Documents (Results 1–100)
Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials. (English) Zbl 07797672
Mixed dimensional modeling with overlapping continua on Cartesian grids for complex applications. (English) Zbl 1529.65079
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 129-145 (2023).
A hybrid WENO scheme for steady Euler equations in curved geometries on Cartesian grids. (English) Zbl 1514.65153
3D time-dependent scattering about complex shapes using high order difference potentials. (English) Zbl 07605602
Consistency and accuracy in the simulation of two-phase flows with phase change using sharp interface capturing methods. (English) Zbl 07599632
Strong bounded variation estimates for the multi-dimensional finite volume approximation of scalar conservation laws and application to a tumour growth model. (English) Zbl 1491.65082
Reviewer: Abdallah Bradji (Annaba)
Eternal domination: \(D\)-dimensional Cartesian and strong grids and everything in between. (English) Zbl 1512.05294
Difference potentials method for models with dynamic boundary conditions and bulk-surface problems. (English) Zbl 1452.65155
High order accurate schemes for Euler and Navier-Stokes equations on staggered Cartesian grids. (English) Zbl 1436.65124
Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids. (English) Zbl 1441.65066
MSC:
65L12
Solving partial differential equations on closed surfaces with planar Cartesian grids. (English) Zbl 1448.65091
Reviewer: Bülent Karasözen (Ankara)
Optimal error estimates of the local discontinuous Galerkin method for the two-dimensional sine-Gordon equation on Cartesian grids. (English) Zbl 1427.65214
Finite difference schemes on locally refined Cartesian grids for the solution of gas dynamic problems on the basis of quasigasdynamics equations. (English) Zbl 1434.76085
Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 321-328 (2019).
Convergence of numerical approximations to non-linear continuity equations with rough force fields. (English) Zbl 1437.35475
Reviewer: Evgeniy Panov (Novgorod)
A novel geometry-adaptive Cartesian grid based immersed boundary-lattice Boltzmann method for fluid-structure interactions at moderate and high Reynolds numbers. (English) Zbl 1416.76247
Improved accuracy of high-order WENO finite volume methods on Cartesian grids with adaptive mesh refinement. (English) Zbl 1405.65103
Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems I, Aachen, Germany, August 2016. Cham: Springer (ISBN 978-3-319-91544-9/hbk; 978-3-319-91545-6/ebook). Springer Proceedings in Mathematics & Statistics 236, 263-272 (2018).
MSC:
65M08
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. (English) Zbl 1390.35231
Reviewer: Gelu Paşa (Bucureşti)
Inverse Lax-Wendroff boundary treatment for compressible Lagrange-remap hydrodynamics on Cartesian grids. (English) Zbl 1380.76058
Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. (English) Zbl 1540.76116
Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. (English) Zbl 1439.76066
Superconvergent second-order Cartesian method for solving free boundary problem for invadopodia formation. (English) Zbl 1375.92019
An adaptive reconstruction for Lagrangian, direct-forcing, immersed-boundary methods. (English) Zbl 1375.76132
MSC:
76M25
76D05
Free boundary problem for cell protrusion formations: theoretical and numerical aspects. (English) Zbl 1381.92018
Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids. (English) Zbl 1355.65114
Unstructured Cartesian refinement with sharp interface immersed boundary method for 3D unsteady incompressible flows. (English) Zbl 1375.76033
Robust multigrid for high-order discontinuous Galerkin methods: a fast Poisson solver suitable for high-aspect ratio Cartesian grids. (English) Zbl 1422.65412
Efficient parallel shock-capturing method for aerodynamics simulations on body-unfitted Cartesian grids. (English. Russian original) Zbl 06701233
Comput. Math. Math. Phys. 56, No. 9, 1651-1664 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 9, 1677-1691 (2016).
High order weighted extrapolation for boundary conditions for finite difference methods on complex domains with Cartesian meshes. (English) Zbl 1352.65225
Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. (English) Zbl 1432.76157
High order boundary extrapolation technique for finite difference methods on complex domains with Cartesian meshes. (English) Zbl 1335.65068
Superconvergence and a posteriori error estimates of the DG method for scalar hyperbolic problems on Cartesian grids. (English) Zbl 1410.65443
Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry. (English) Zbl 1352.65592
A second-order Cartesian method for the simulation of electropermeabilization cell models. (English) Zbl 1349.78093
A second order penalized direct forcing for hybrid Cartesian/immersed boundary flow simulations. (English) Zbl 1391.76419
A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids. (English) Zbl 1367.65140
A second order virtual node algorithm for Navier-Stokes flow problems with interfacial forces and discontinuous material properties. (English) Zbl 1349.76529
A dynamic mesh refinement technique for lattice Boltzmann simulations on octree-like grids. (English) Zbl 1312.76051
MSC:
76M28
Local moving least square-one-dimensional integrated radial basis function networks technique for incompressible viscous flows. (English) Zbl 1412.76027
Automatic structured mesh generation around two-dimensional bodies defined by polylines or polyC1 curves. (English) Zbl 1365.76214
Local moving least square - one-dimensional IRBFN technique. I: Natural convection flows in concentric and eccentric annuli. (English) Zbl 1356.76324
Orthogonal drawings and crossing numbers of the Kronecker product of two cycles. (English) Zbl 1242.68193
The elastoplast discontinuous Galerkin (EDG) method for the Navier-Stokes equations. (English) Zbl 1452.76199
Moving least square – one dimensional integrated radial basis function networks for time dependent problems. (English) Zbl 1238.65098
Brebbia, C. A. (ed.) et al., Boundary elements and other mesh reduction methods XXXIII. Selected papers based on the presentations at the 33rd international conference on boundary elements and other mesh reduction methods, BEM/MRM, New Forest, UK, June 28–30, 2011. Southampton: WIT Press (ISBN 978-1-84564-542-7). 309-320 (2011).
A second-order curvilinear to Cartesian transformation of immersed interfaces and boundaries. Application to fictitious domains and multiphase flows. (English) Zbl 1431.76105
Navier–Stokes and Lattice–Boltzmann on octree-like grids in the Peano framework. (English) Zbl 1427.76188
The capture time of grids. (English) Zbl 1203.91039
A direct-forcing embedded-boundary method with adaptive mesh refinement for fluid-structure interaction problems. (English) Zbl 1425.76174
The PDE framework Peano applied to fluid dynamics: an efficient implementation of a parallel multiscale fluid dynamics solver on octree-like adaptive Cartesian grids. (English) Zbl 1301.76056
A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries. (English) Zbl 1305.76073
Game chromatic number of toroidal grids. (English) Zbl 1273.05080
Nešetřil, Jaroslav (ed.) et al., Extended abstracts of the 5th European conference on combinatorics, graph theory and applications, EuroComb’09, Bordeaux, France, September 7–11, 2009. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 34, 381-385 (2009).
Treatment of domain integrals using Cartesian grids for solving Poisson equation with boundary point method. (Chinese. English summary) Zbl 1212.65475
A moving-least-squares reconstruction for embedded-boundary formulations. (English) Zbl 1173.65333
MSC:
65M06
Grid-optimized upwind dispersion-relation-preserving scheme on non-uniform Cartesian grids for computational aeroacoustics. (English) Zbl 1273.76299
A singular-value decomposition (SVD)-based generalized finite difference (GFD) method for close-interaction moving boundary flow problems. (English) Zbl 1195.76302
Additive Schwarz preconditioners for degenerate problems with isotropic coefficients. (English) Zbl 1157.65504
Kunisch, Karl (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10–14, 2007. Berlin: Springer (ISBN 978-3-540-69776-3/hbk). 143-150 (2008).
An immersed boundary method for compressible multiphase flows: application to the dynamics of pyroclastic density currents. (English) Zbl 1186.76663
A second order accurate level set method on non-graded adaptive Cartesian grids. (English) Zbl 1122.65077
A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids. (English) Zbl 1120.65113
A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources. (English) Zbl 1153.65373
3D adaptive central schemes. I: Algorithms for assembling the dual mesh. (English) Zbl 1137.76041
MSC:
76M12
A Rothe-immersed interface method for a class of parabolic interface problems. (English) Zbl 1118.65361
Li, Zhilin (ed.) et al., Numerical analysis and its applications. Third international conference, NAA 2004, Rousse, Bulgaria, June 29 – July 3, 2004. Revised selected papers. Berlin: Springer (ISBN 3-540-24937-0/pbk). Lecture Notes in Computer Science 3401, 328-336 (2005).
Selective edge removal for unstructured grids with Cartesian cores. (English) Zbl 1087.76530
MSC:
76M10
An accuracy study of mesh refinement on mapped grids. (English) Zbl 1246.76112
Plewa, Tomasz (ed.) et al., Adaptive mesh refinement – theory and applications. Proceedings of the Chicago workshop on adaptive mesh refinement methods, Chicago, IL, USA, September 3–5, 2003. Berlin: Springer (ISBN 3-540-21147-0/pbk). Lecture Notes in Computational Science and Engineering 41, 91-101 (2005).
A high-resolution rotated grid method for conservation laws with embedded geometries. (English) Zbl 1074.35071
A method for complex geometries in finite-difference solutions of Maxwell’s equations. (English) Zbl 1066.78019
Discretization of transport equations on 2D Cartesian unstructured grids using data from remote cells for the convection terms. (English) Zbl 1143.76493
A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids. (English) Zbl 1134.76406
An improved quadrature rule for the flux computation in staggered central difference schemes in multidimensions. (English) Zbl 1024.76030
Developments in Cartesian cut cell methods. (English) Zbl 1205.76167
MSC:
76M12
A cascadic conjugate gradient algorithm for mass conservative, semi-implicit discretization of the shallow water equations on locally refined structured grids. (English) Zbl 1010.76056
A level set approach for computing solutions to inviscid compressible flow with moving solid boundary using fixed Cartesian grids. (English) Zbl 1028.76037
Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization. (English) Zbl 1020.76037
Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. (English) Zbl 1041.65080
A compact monotonic discretization scheme for solving second-order vorticity-velocity equations. (English) Zbl 0997.76060
Stretched Cartesian grids for solution of the incompressible Navier-Stokes equations. (English) Zbl 0980.76057
Reviewer: Thomas Sonar (Braunschweig)
Discretization of the Navier-Stokes equations on non-smooth grids using auxiliary points. (English) Zbl 1008.76055
Comparison of using Cartesian and covariant velocity components on non-orthogonal collocated grids. (English) Zbl 0993.76050
Flow simulations on Cartesian grids involving complex moving geometries. (English) Zbl 0936.76040
Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. I. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 129, 315-324 (1999).
A quadtree-based adaptive Cartesian/Quad grid flow solver for Navier-Stokes equations. (English) Zbl 0968.76053
Fourth-order methods for acoustic waves with discontinuous materials. (English) Zbl 0982.76533
DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 652-654 (1998).
16th international conference on numerical methods in fluid dynamics. Proceedings of the conference, Arcachon, France, July 6–10, 1998. (English) Zbl 0917.76002
Lecture Notes in Physics. 515. Berlin: Springer. xv, 568 p. (1998).
Reviewer: W.Wuest (Göttingen)
Embeddings of Cartesian products of graphs into de Bruijn graphs. (Einbettungen kartesischer Produkte von Graphen in de Bruijn-Graphen.) (German) Zbl 0897.05028
Hamburg: Univ. Hamburg, FB Mathematik, 253 S. (1998).
Reviewer: T.Andreae (Hamburg)
Compressible potential flow around a helicopter rotor in arbitrary motion. (English) Zbl 0846.76074
MSC:
76M25
76H05
A multigrid full potential transonic code for arbitrary configurations. (English) Zbl 0591.76094
GMD-Stud. 110, 101-110 (1986).
Solution of shallow water equations for complex flow domains via boundary-fitted co-ordinates. (English) Zbl 0584.76020
Development of multigrid algorithms for problems from fluid dynamics. (English) Zbl 0573.76054
Arbeitspapiere der GMD 111. St. Augustin: GMD. 10 p. (1984).
Reviewer: E.Krause
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