Principles of Computational Fluid Dynamics

Examples of non-uniqueness of almost-unidirectional gas flow

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows

Journal of Computational Physics

A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations

Journal of Computational Physics

Anisotropic grid adaptation for Navier--Stokes' equations

Journal of Computational Physics

Multistage explicit advective prediction for projection-type incompressible flow solvers

Journal of Computational Physics

Unified formulation for compressible and incompressible flows by using multi-integrated moments I: one-dimensional inviscid compressible flow

Journal of Computational Physics

A semi-implicit discontinuous Galerkin finite element method for the numerical solution of inviscid compressible flow

Journal of Computational Physics

RKC time-stepping for advection-diffusion-reaction problems

Journal of Computational Physics

Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications

IEEE Transactions on Pattern Analysis and Machine Intelligence

Preconditioning Strategies for Models of Incompressible Flow

Journal of Scientific Computing

A second order primitive preconditioner for solving all speed multi-phase flows

Journal of Computational Physics

Unified formulation for compressible and incompressible flows by using multi-integrated moments II: Multi-dimensional version for compressible and incompressible flows

Journal of Computational Physics

Artificial compressibility, characteristics-based schemes for variable density, incompressible, multi-species flows. Part I. Derivation of different formulations and constant density limit

Journal of Computational Physics

The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations

Journal of Computational Physics

Adaptive execution of variable-accuracy functions

VLDB '06 Proceedings of the 32nd international conference on Very large data bases

Multigrid Methods for the Stokes System

Computing in Science and Engineering

A superlinearly convergent Mach-uniform finite volume method for the Euler equations on staggered unstructured grids

Journal of Computational Physics

Pseudo-time stepping methods for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations

Journal of Computational Physics

Discrete calculus methods for diffusion

Journal of Computational Physics

On the influence of different stabilisation methods for the incompressible Navier-Stokes equations

Journal of Computational Physics

Three-dimensional adaptive Cartesian grid method with conservative interface restructuring and reconstruction

Journal of Computational Physics

On a robust discontinuous Galerkin technique for the solution of compressible flow

Journal of Computational Physics

Adjoint-based aerodynamic shape optimization on unstructured meshes

Journal of Computational Physics

Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature

Journal of Computational Physics

Optimization of the numerical algorithms of the ADREA-I mesoscale prognostic meteorological model for real-time applications

Environmental Modelling & Software

A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Journal of Computational Physics

A posteriori adaptive mesh technique with a priori error estimates for singularly perturbed semilinear parabolic convection-diffusion equations

International Journal of Computing Science and Mathematics

Three-dimensional Eulerian method for large deformation of viscoelastic fluid: Toward plate-mantle simulation

Journal of Computational Physics

Multigrid relaxation methods for systems of saddle point type

Applied Numerical Mathematics

Analysis and application of the IIPG method to quasilinear nonstationary convection-diffusion problems

Journal of Computational and Applied Mathematics

Application of operator splitting to the Maxwell equations including a source term

Applied Numerical Mathematics

An efficient cell-centered diffusion scheme for quadrilateral grids

Journal of Computational Physics

Consistent Dirichlet boundary conditions for numerical solution of moving boundary problems

Applied Numerical Mathematics

Space--time adaptive multiresolution methods for hyperbolic conservation laws: Applications to compressible Euler equations

Applied Numerical Mathematics

Computational Upscaling of Inertia Effects from Porescale to Mesoscale

ICCS '09 Proceedings of the 9th International Conference on Computational Science: Part I

A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids

Journal of Computational Physics

Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions

Applied Numerical Mathematics

Modelling thermal convection with large viscosity gradients in one block of the 'cubed sphere'

Journal of Computational Physics

High-order accurate solution of the incompressible Navier-Stokes equations on massively parallel computers

Journal of Computational Physics

On a local refinement solver for coupled flow in plain and porous media

NMA'06 Proceedings of the 6th international conference on Numerical methods and applications

A second order self-consistent IMEX method for radiation hydrodynamics

Journal of Computational Physics

A high-resolution mapped grid algorithm for compressible multiphase flow problems

Journal of Computational Physics

Isogeometric design of elastic arches for maximum fundamental frequency

Structural and Multidisciplinary Optimization

Stabilization of the Eulerian model for incompressible multiphase flow by artificial diffusion

Journal of Computational Physics

The Finite Volume-Complete Flux Scheme for Advection-Diffusion-Reaction Equations

Journal of Scientific Computing

Least-Squares Finite Element Methods for Quantum Electrodynamics

SIAM Journal on Scientific Computing

A 6th order staggered compact finite difference method for the incompressible Navier-Stokes and scalar transport equations

Journal of Computational Physics

Stabilization and scalable block preconditioning for the Navier-Stokes equations

Journal of Computational Physics

Convergence of the MAC Scheme for the Compressible Stokes Equations

SIAM Journal on Numerical Analysis

Partitioned Runge-Kutta-Chebyshev Methods for Diffusion-Advection-Reaction Problems

SIAM Journal on Scientific Computing

A level set method for vapor bubble dynamics

Journal of Computational Physics

Accuracy analysis of explicit Runge-Kutta methods applied to the incompressible Navier-Stokes equations

Journal of Computational Physics

The deflation accelerated schwarz method for CFD

ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I

A second-order accurate immersed boundary method for fully resolved simulations of particle-laden flows

Journal of Computational Physics

Improving vehicle aeroacoustics using machine learning

Engineering Applications of Artificial Intelligence

An adaptive wavelet viscosity method for systems of hyperbolic conservation laws

Journal of Computational and Applied Mathematics

Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations

Journal of Computational Physics

Lax-Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws

Journal of Computational Physics

Symbolic-numeric implementation of the method of collocations and least squares for 3d navier--stokes equations

CASC'12 Proceedings of the 14th international conference on Computer Algebra in Scientific Computing

Extension of the Complete Flux Scheme to Systems of Conservation Laws

Journal of Scientific Computing

Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell's Equations

Journal of Scientific Computing

Parallel implicit DNS of temporally-evolving turbulent shear layer instability

Journal of Computational and Applied Mathematics

Why starting from differential equations for computational physics?

Journal of Computational Physics

Boundary treatment for fourth-order staggered mesh discretizations of the incompressible Navier-Stokes equations

Journal of Computational Physics

The projection method for the incompressible Navier-Stokes equations: The pressure near a no-slip wall

Journal of Computational Physics