The 1st International Workshop on High-Order CFD Methods, held in Nashville in 2012, aimed to evaluate high-order and second-order methods for CFD. Over 70 participants from academia, government, and industry attended, presenting exciting results. The workshop aimed to identify remaining challenges and pacing items for high-order methods. Key findings included the need to compare methods fairly, using computational cost to achieve the same error level. High-order methods are not necessarily more expensive than low-order ones when considering the same error threshold. They are also not always required for engineering accuracy, as many engineering problems can be solved with second-order methods. However, high-order methods are essential for accurately resolving unsteady vortices in complex flows, such as those around helicopters. The workshop identified several pacing items, including the development of robust limiters, high-order viscous grid generation, and efficient iterative solution methods. The workshop also defined benchmark cases to assess the performance of high-order methods against low-order ones. These cases included problems such as inviscid flow through a channel with a bump, the Ringleb problem, flow over a NACA0012 airfoil, laminar boundary layer on a flat plate, radial expansion wave, vortex transport by uniform flow, unsteady viscous flow over tandem airfoils, steady turbulent transonic flow over an airfoil, analytical 3D body of revolution, laminar flow around a delta wing, turbulent flow over a 2D multielement airfoil, turbulent flow over the DPW III wing, and transitional flow over a SD7003 wing. The workshop aimed to provide a fair comparison of high-order methods and identify areas for further research.The 1st International Workshop on High-Order CFD Methods, held in Nashville in 2012, aimed to evaluate high-order and second-order methods for CFD. Over 70 participants from academia, government, and industry attended, presenting exciting results. The workshop aimed to identify remaining challenges and pacing items for high-order methods. Key findings included the need to compare methods fairly, using computational cost to achieve the same error level. High-order methods are not necessarily more expensive than low-order ones when considering the same error threshold. They are also not always required for engineering accuracy, as many engineering problems can be solved with second-order methods. However, high-order methods are essential for accurately resolving unsteady vortices in complex flows, such as those around helicopters. The workshop identified several pacing items, including the development of robust limiters, high-order viscous grid generation, and efficient iterative solution methods. The workshop also defined benchmark cases to assess the performance of high-order methods against low-order ones. These cases included problems such as inviscid flow through a channel with a bump, the Ringleb problem, flow over a NACA0012 airfoil, laminar boundary layer on a flat plate, radial expansion wave, vortex transport by uniform flow, unsteady viscous flow over tandem airfoils, steady turbulent transonic flow over an airfoil, analytical 3D body of revolution, laminar flow around a delta wing, turbulent flow over a 2D multielement airfoil, turbulent flow over the DPW III wing, and transitional flow over a SD7003 wing. The workshop aimed to provide a fair comparison of high-order methods and identify areas for further research.