Well-balanced high-order solver for blood flow in networks of vessels with variable properties

Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties

(2013) Lucas O. Müller et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Flow in Collapsible Tubes with Discontinuous Mechanical Properties: Mathematical Model and Exact Solutions

(2012) Eleuterio F. Toro et al.   Communications in Computational Physics

ADER scheme on unstructured meshes for shallow water: simulation of tsunami waves

(2012) Cristóbal E. Castro et al.   GEOPHYSICAL JOURNAL INTERNATIONAL

A ‘well-balanced’ finite volume scheme for blood flow simulation

(2012) O. Delestre et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

(2012) G. Montecinos et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A computational model study of the influence of the anatomy of the circle of willis on cerebral hyperperfusion following carotid artery surgery

(2011) Fuyou Liang et al.   Biomedical Engineering Online

On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

(2011) Michael Dumbser et al.   Communications in Computational Physics

Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems

(2011) Vincenzo Casulli et al.   International Journal for Numerical Methods in Biomedical Engineering

Pulse wave propagation in a model human arterial network: Assessment of 1-D visco-elastic simulations against in vitro measurements

(2011) Jordi Alastruey et al.   JOURNAL OF BIOMECHANICS

On the Convergence and Well-Balanced Property of Path-Conservative Numerical Schemes for Systems of Balance Laws

(2010) María Luz Muñoz-Ruiz et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems

(2010) Michael Dumbser et al.   JOURNAL OF SCIENTIFIC COMPUTING

ADER Schemes for Nonlinear Systems of Stiff Advection–Diffusion–Reaction Equations

(2010) Arturo Hidalgo et al.   JOURNAL OF SCIENTIFIC COMPUTING

Well-balanced high-order centred schemes for non-conservative hyperbolic systems. Applications to shallow water equations with fixed and mobile bed

(2009) Alberto Canestrelli et al.   ADVANCES IN WATER RESOURCES

ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows

(2009) Michael Dumbser et al.   COMPUTERS & FLUIDS

On the potentialities of 3D–1D coupled models in hemodynamics simulations

(2009) P.J. Blanco et al.   JOURNAL OF BIOMECHANICS

Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes

(2008) Manuel J. Castro et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry

(2008) R. Bernetti et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

(2008) Michael Dumbser et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws

(2007) Michael Dumbser et al.   JOURNAL OF COMPUTATIONAL PHYSICS