From June 29th to July lst,2022,more than 60 international scientists met in Magdeburg,Germany,for the conference Hyperbolic Balance Laws and Beyond to share scientific results and to celebrate the 65th birthday of Pr...
supported by the NSFC(Nos.11771054,12072042,91852207);the Sino-German Research Group Project(No.GZ1465);the National Key Project GJXM92579.
Hyperbolic conservation laws arise in the context of continuum physics,and are mathematically presented in differential form and understood in the distributional(weak)sense.The formal application of the Gauss-Green th...
Funding Open Access funding enabled and organized by Projekt DEAL.Financial support has been provided by the German Research Foundation(Deutsche Forschungsgemeinschaft-DFG)in the framework of the Sonderforschungsbereich Transregio 40.
Transpiration cooling is numerically investigated,where a cooling gas is injected through a carbon composite material into a hot gas channel.To account for microscale effects at the injection interface,an effective pr...
Funding Open Access funding enabled and organized by Projekt DEAL;the Deutsche Forschungsgemeinschaft(DFG,German Research Foundation)for the financial support through 320021702/GRK2326,333849990/IRTG-2379,B04,B05,and B06 of 442047500/SFB1481,HE5386/18-1,19-2,22-1,23-1,25-1,ERS SFDdM035 and under Germany’s Excellence Strategy EXC-2023 Internet of Production 390621612 and under the Excellence Strategy of the Federal Government and the Länder.Support through the EU DATAHYKING is also acknowledged.
A novel numerical scheme to solve two coupled systems of conservation laws is introduced.The scheme is derived based on a relaxation approach and does not require information on the Lax curves of the coupled systems,w...
Initiative 2018–2027 attributed to DICAM of the University of Trento(grant L.232/2016);the PRIN 2022 project High-order structure-preserving semi-implicit schemes for hyperbolic equations and by the European Union-Next GenerationEU(PNRR,Spoke 7 CN HPC).
This paper presents a high-order discontinuous Galerkin(DG)finite-element method to solve the barotropic version of the conservative symmetric hyperbolic and thermodynamically compatible(SHTC)model of compressible two...
supported by the Research Training Group Energy,Entropy,and Dissipative Dynamics(EDDy),Project No.320021702/RTG2326,of the German Research Foundation(DFG).
Shallow moment models are extensions of the hyperbolic shallow water equations.They admit variations in the vertical profile of the horizontal velocity.This paper introduces a non-hydrostatic pressure to this framewor...
supported by the JSPS KAKENHI Grant No.JP19K04204(S.T.).
We study the shock structure and the sub-shock formation in a binary mixture of rarefied polyatomic gases,considering the dissipation only due to the dynamic pressure.We classify the regions depending on the concentra...
funded by the Gutenberg Research College and by Chinesisch-Deutschen Zentrum fiur Wissenschaftsforderung(中德科学中心)Sino-German Project No.GZ1465;M.L.is grateful to the Mainz Institute of Multiscale Modelling and SPP 2410 Hyperbolic Balance Laws in Fluid Mechanics:Complexity,Scales,Randomness(CoScaRa)for supporting her research.
In this paper,we study the convergence of a second-order finite volume approximation of the scalar conservation law.This scheme is based on the generalized Riemann problem(GRP)solver.We first investigate the stability...
In this paper,we consider two Cauchy systems of coupled two wave equations in the whole line R under one or two frictional dampings,where the coupling terms are either of order one with respect to the time variable or...
supported by the Scientific Computing Research Innovation Team of Guangdong Province(no.2021KCXTD052);the Science and Technology Development Fund,Macao SAR(no.0096/2022/A,0151/2022/A);University of Macao(no.MYRG2020-00035-FST,MYRG2022-00076-FST);the Guangdong Key Construction Discipline Research Capacity Enhancement Project(no.2022ZDJS049);Technology Planning Project of Shaoguan(no.210716094530390);the ScienceFoundation of Shaoguan University(no.SZ2020KJ01).
In this paper,a two-step iteration method is established which can be viewed as a generalization of the existing modulus-based methods for vertical linear complementarity problems given by He and Vong(Appl.Math.Lett.1...