Mathematical models in the form of partial differential equations are extremely useful tools in mathematical, scientific, and engineering communities. Development of robust, efficient and highly accurate numerical algorithms for simulation of their solutions continues to be a challenging task. High order numerical methods, such as discontinuous Galerkin method and schemes with weighted essentially non-oscillatory (WENO) reconstructions have been under great development for hyperbolic type PDEs with a broad range of applications in the past few decades. One important, yet challenging, direction on further development of these high order methods are to ensure the structure preserving properties, i.e. to develop high order numerical methods that preserve certain structures or other fundamental continuum properties of the underlying models exactly. The focus of this workshop will be on recent developments in the design, analysis, implementation and application of high order structure-preserving numerical methods. The topics will span a wide range from theoretical results to novel algorithms, and to a variety of interesting application areas.